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Solution 55732

Submitted on 3 Mar 2012 by Alan Chalker

Correct

59Size
Leading solution size is 11.
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test
Code Input and Output
1
Pass
 
%%
X = fib_seq(145);
assert(isequal(X(end),144) && length(X)==12)
n =
     1     1     2
n =
     1     1     2     3
n =
     1     1     2     3     5
n =
     1     1     2     3     5     8
n =
     1     1     2     3     5     8    13
n =
     1     1     2     3     5     8    13    21
n =
     1     1     2     3     5     8    13    21    34
n =
     1     1     2     3     5     8    13    21    34    55
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Column 11
    89
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 12
    89   144
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 13
    89   144   233
2
Pass
 
%%
X = fib_seq(4196);
assert(isequal(X(end),4181) && length(X)==19)
n =
     1     1     2
n =
     1     1     2     3
n =
     1     1     2     3     5
n =
     1     1     2     3     5     8
n =
     1     1     2     3     5     8    13
n =
     1     1     2     3     5     8    13    21
n =
     1     1     2     3     5     8    13    21    34
n =
     1     1     2     3     5     8    13    21    34    55
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Column 11
    89
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 12
    89   144
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 13
    89   144   233
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 14
    89   144   233   377
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 15
    89   144   233   377   610
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 16
    89   144   233   377   610   987
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 17
         987        1597
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 18
         987        1597        2584
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 19
         987        1597        2584        4181
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
3
Pass
 
%%
X = fib_seq(987419996);
assert(isequal(X(end),701408733) && length(X)==44)
n =
     1     1     2
n =
     1     1     2     3
n =
     1     1     2     3     5
n =
     1     1     2     3     5     8
n =
     1     1     2     3     5     8    13
n =
     1     1     2     3     5     8    13    21
n =
     1     1     2     3     5     8    13    21    34
n =
     1     1     2     3     5     8    13    21    34    55
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Column 11
    89
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 12
    89   144
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 13
    89   144   233
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 14
    89   144   233   377
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 15
    89   144   233   377   610
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 16
    89   144   233   377   610   987
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 17
         987        1597
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 18
         987        1597        2584
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 19
         987        1597        2584        4181
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Column 21
       10946
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 22
       10946       17711
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 23
       10946       17711       28657
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 24
       10946       17711       28657       46368
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Column 26
      121393
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 27
      121393      196418
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 28
      121393      196418      317811
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 29
      121393      196418      317811      514229
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Column 31
     1346269
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 32
     1346269     2178309
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 33
     1346269     2178309     3524578
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 34
     1346269     2178309     3524578     5702887
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 35
     1346269     2178309     3524578     5702887     9227465
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987  ...
4
Pass
 
%%
X = fib_seq(1134903171);
assert(isequal(X(end),1134903170) && length(X)==45)
n =
     1     1     2
n =
     1     1     2     3
n =
     1     1     2     3     5
n =
     1     1     2     3     5     8
n =
     1     1     2     3     5     8    13
n =
     1     1     2     3     5     8    13    21
n =
     1     1     2     3     5     8    13    21    34
n =
     1     1     2     3     5     8    13    21    34    55
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Column 11
    89
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 12
    89   144
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 13
    89   144   233
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 14
    89   144   233   377
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 15
    89   144   233   377   610
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 16
    89   144   233   377   610   987
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 17
         987        1597
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 18
         987        1597        2584
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 19
         987        1597        2584        4181
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Column 21
       10946
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 22
       10946       17711
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 23
       10946       17711       28657
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 24
       10946       17711       28657       46368
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Column 26
      121393
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 27
      121393      196418
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 28
      121393      196418      317811
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 29
      121393      196418      317811      514229
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Column 31
     1346269
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 32
     1346269     2178309
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 33
     1346269     2178309     3524578
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 34
     1346269     2178309     3524578     5702887
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 35
     1346269     2178309     3524578     5702887     9227465
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987  ...
5
Pass
 
%%
X = fib_seq(98691443031971);
assert(isequal(X(end),72723460248141) && length(X)==68)
{Warning: Warning: FOR loop index is too large. Truncating to
2147483647.}
{> In fib_seq at 3
  In verifyCode>evaluateCode at 189
  In verifyCode at 37
  In fevalJSON at 14}
n =
     1     1     2
n =
     1     1     2     3
n =
     1     1     2     3     5
n =
     1     1     2     3     5     8
n =
     1     1     2     3     5     8    13
n =
     1     1     2     3     5     8    13    21
n =
     1     1     2     3     5     8    13    21    34
n =
     1     1     2     3     5     8    13    21    34    55
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Column 11
    89
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 12
    89   144
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 13
    89   144   233
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 14
    89   144   233   377
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 15
    89   144   233   377   610
n =
  Columns 1 through 10
     1     1     2     3     5     8    13    21    34    55
  Columns 11 through 16
    89   144   233   377   610   987
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 17
         987        1597
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 18
         987        1597        2584
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 19
         987        1597        2584        4181
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Column 21
       10946
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 22
       10946       17711
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 23
       10946       17711       28657
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 24
       10946       17711       28657       46368
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Column 26
      121393
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 27
      121393      196418
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 28
      121393      196418      317811
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 29
      121393      196418      317811      514229
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Column 31
     1346269
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 32
     1346269     2178309
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 33
     1346269     2178309     3524578
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 34
     1346269     2178309     3524578     5702887
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           8          13          21          34          55
  Columns 11 through 15
          89         144         233         377         610
  Columns 16 through 20
         987        1597        2584        4181        6765
  Columns 21 through 25
       10946       17711       28657       46368       75025
  Columns 26 through 30
      121393      196418      317811      514229      832040
  Columns 31 through 35
     1346269     2178309     3524578     5702887     9227465
n =
  Columns 1 through 5
           1           1           2           3           5
  Columns 6 through 10
           ...