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

1,2

Comments

Row sums give A033484.

Duplicate of A133093. - Georg Fischer, Oct 10 2021

Links

Table of n, a(n) for n=1..55.

Formula

A000012 * A133084 as infinite lower triangular matrices.

Example

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;
...

Prog

(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

Crossrefs

Cf. A133084, A033484.

Sequence in context: A124928 A249250 A122432 * A133093 A065567 A100861

Adjacent sequences: A131107 A131108 A131109 * A131111 A131112 A131113

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 08 2007

Extensions

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

Status

approved