Pascal matrix

`A = pascal(n)`

A = pascal(n,1)

A = pascal(n,2)

`A = pascal(n)`

returns a Pascal's Matrix of order `n`

:
a symmetric positive definite matrix with integer entries taken from
Pascal's triangle. The inverse of `A`

has integer
entries.

`A = pascal(n,1)`

returns the lower triangular
Cholesky factor (up to the signs of the columns) of the Pascal matrix.
It is *involutary*, that is, it is its own inverse.

`A = pascal(n,2)`

returns
a transposed and permuted version of `pascal(n,1)`

. `A`

is
a cube root of the identity matrix.

`pascal(4)`

returns

1 1 1 1 1 2 3 4 1 3 6 10 1 4 10 20

`A = pascal(3,2)`

produces

A = 1 1 1 -2 -1 0 1 0 0

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