A114282 Number triangle related to A114280.

1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 4, 4, 3, 1, 1, 5, 7, 8, 3, 1, 1, 6, 11, 17, 8, 4, 1, 1, 7, 16, 31, 17, 14, 4, 1, 1, 8, 22, 51, 32, 35, 15, 5, 1, 1, 9, 29, 78, 56, 76, 40, 23, 5, 1, 1, 10, 37, 113, 93, 152, 96, 69, 23, 6, 1

Offset

0,5

Links

Table of n, a(n) for n=0..65.

Formula

Column k has g.f. x^k*sum{j=0..k, A114280(k, j)*x^j/(1-x)^(j+1)}.

Example

Triangle begins
1;
1, 1;
1, 2, 1;
1, 3, 2, 1;
1, 4, 4, 3, 1;
1, 5, 7, 8, 3, 1;
1, 6,11,17, 8, 4, 1;
1, 7,16,31,17,14, 4, 1;

Crossrefs

Sequence in context: A227588 A093628 A186807 * A112739 A308813 A225640

Adjacent sequences: A114279 A114280 A114281 * A114283 A114284 A114285

Keyword

easy,nonn,tabl

Author

Paul Barry, Nov 20 2005

Status

approved