A131110 A000012 * A133084.

1, 3, 1, 6, 3, 1, 10, 6, 5, 1, 15, 10, 15, 5, 1, 21, 15, 35, 15, 7, 1, 28, 21, 70, 35, 28, 7, 1, 36, 28, 126, 70, 84, 28, 9, 1, 45, 36, 210, 126, 210, 84, 45, 9, 1, 55, 45, 330, 210, 462, 210, 165, 45, 11, 1

Offset: 1

Author

Gary W. Adamson, Sep 08 2007

Keywords

• nonn
• tabl

Comments

Row sums give A033484.

Duplicate of A133093. - Georg Fischer, Oct 10 2021

Examples

			First few rows of the triangle are:
1;
3, 1;
6, 3, 1;
10, 6, 5, 1;
15, 10, 15, 5, 1;
21, 15, 35, 15, 7, 1;
28, 21, 70, 35, 28, 7, 1;
...
		

Crossrefs

Cf. A133084, A033484.

Programs

PARI

T4(n, k) = if(k == n, 1, (1  - (1 + (-1)^k)/2 )*binomial(n, k) + ((1 + (-1)^k)/2)*binomial(n - 1, k - 1)); \\ A133084
N=10; matrix(N, N, n, k, if(n>=k, 1))*matrix(N, N, n, k, T4(n,k)) \\ Michel Marcus, Oct 11 2021

Formula

A000012 * A133084 as infinite lower triangular matrices.

Extensions

a(46) corrected by Georg Fischer, Oct 10 2021