A171505 -id:A171505 - cp's OEIS frontend

A171509 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A126931.

1, 3, 1, 10, 6, 1, 33, 29, 9, 1, 110, 126, 57, 12, 1, 366, 518, 306, 94, 15, 1, 1220, 2052, 1494, 600, 140, 18, 1, 4065, 7925, 6849, 3389, 1035, 195, 21, 1, 13550, 30030, 30025, 17628, 6635, 1638, 259, 24, 1

Offset: 0

Graph
List
Refs
Listen
History
Text
Internal format

Philippe Deléham, Dec 10 2009

nonn
tabl

Equal to A053121*B^3, B = A007318.

			Triangle begins:
  1 ;
  3,1 ;
  10,6,1 ;
  33,29,9,1 ;
  110,126,57,12,1 ; ...

Cf. A053121, A054336, A096164, A171505.

Sum_{k=0..n} T(n,k)*x^k = A126930(n), A126120(n), A001405(n), A054341(n), A126931(n) for x = -4, -3, -2, -1, 0 respectively.

T(n,k) = T(n-1,k-1) + 3*T(n-1,k) + Sum_{i>=0} T(n-1,k+1+i)*(-3)^i. - Philippe Deléham, Feb 23 2012

cp's OEIS Frontend

A171509 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A126931.

Views

Author

Keywords

Comments

Examples

Crossrefs

Formula