How do I make an array, (m,n), where the first row corresponds to the row number, where the first column corresponds to the column number, and the remaining elemnts by adding

function C = Special_Array(m ,n)

% This function takes an arbitrary m and n positive integers representing

% the dimensions of the output array C.

C = ([1:m;1:n]);

This is the code I have so far which create part 1 and 2 of the array however the 3rd part im unsure how to do.

1. the elements in the first row correspond to the row number
2. the elements in the first column correspond to the column number
3. the rest of the elements are calculated as the sum of the element above it and the element to the left

I beleive you're supposed to use the for command

Answer 1

[KSSV]

m = 5; n = 4 ; 
A = zeros(m+1,n+1) ; 
A(1,2:n+1) = 1:n ;
A(2:m+1,1) = 1:m ;
for i = 1:m
    for j = 1:n
        A(i+1,j+1) = i+j ;
    end
end
A

A = 6×5

0 1 2 3 4 1 2 3 4 5 2 3 4 5 6 3 4 5 6 7 4 5 6 7 8 5 6 7 8 9

[carl luzio]

I appreciate the response and its close just not exactly what the codes asking for. I should have given an example my apoligies.

m = 3

n = 4

C = 1 2 3 4

2 4 7 11

3 7 14 25

m = how many rows there are. counting up by 1.

n = how many colmumns there are. counting up by 1

the remaing 6 elements, are detemined by adding the element that is above it and to the left of it.

Ex. the element in row 3 column 3 is gathered by added the element above it,3, and the element to its left,4.

I hope this better explains my issue, thank you.

[KSSV]

m = 3 ; 
n = 4 ;
C = [1 2 3 4
       2 4 7 11
       3 7 14 25] ;
A = zeros(m,n) ; 
A(1,:) = 1:n ;
A(:,1) = 1:m ;
for i = 2:m
    for j = 2:n
        A(i,j) = A(i-1,j)+A(i,j-1) ;
    end
end
A

A = 3×4

1 2 3 4 2 4 7 11 3 7 14 25

[carl luzio]

Thank you so much boss, greatly appreciated.

Answer 2

[Matt J]

n=6;

tmp=pascal(n+1);

output=tmp(2:end,2:end)-pascal(n),

output = 6×6

1 2 3 4 5 6 2 4 7 11 16 22 3 7 14 25 41 63 4 11 25 50 91 154 5 16 41 91 182 336 6 22 63 154 336 672

[carl luzio]

I've never seen the pascal command but this looks pretty useful I'm going to look into it, thank you I appreciate it.