A171515 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A033543.

1, 2, 1, 5, 4, 1, 16, 14, 6, 1, 62, 52, 27, 8, 1, 270, 213, 116, 44, 10, 1, 1257, 948, 513, 216, 65, 12, 1, 6096, 4470, 2376, 1038, 360, 90, 14, 1, 30398, 21904, 11468, 5056, 1880, 556, 119, 16, 1

Offset

0,2

Comments

Equal to B^2*A039598*B^(-2), B = A007318.

Links

Table of n, a(n) for n=0..44.

Formula

Sum_{k, 0<=k<=n} T(n,k)*x^k = A033543(n), A064613(n), A005572(n), A005573(n) for x = 0, 1, 2, 3 respectively.

T(n,k) = T(n-1,k-1) + 2*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*2^i. - Philippe Deléham, Feb 23 2012

Example

Triangle begins : 1 ; 2,1 : 5,4,1 ; 16,14,6,1 ; 62,52,27,8,1 ; ...

Crossrefs

Cf. A052179, A171486

Sequence in context: A104259 A137650 A363732 * A110271 A073107 A248669

Adjacent sequences: A171512 A171513 A171514 * A171516 A171517 A171518

Keyword

nonn,tabl

Author

Philippe Deléham, Dec 10 2009

Status

approved