A185696 Eigensequence for the Gould sequence triangle (with general term A001316(n-k) if k<=n, 0 otherwise).

1, 1, 3, 7, 19, 45, 115, 285, 719, 1787, 4479, 11187, 27995, 69963, 174983, 437479, 1093979, 2735277, 6839563, 17101645, 42761895, 106922765, 267354083, 668500353, 1671542631, 4179580385, 10450769059, 26131457413, 65339997959, 163378363353, 408516874363

Offset: 0

Author

Paul Barry, Feb 10 2011

Keywords

• nonn
• easy

Comments

First column of the inverse of the number triangle T(n,k)=if(kA001316(n-k-1,k), if(k=n,1,0)). Essentially INVERT transform of A001316.

Formula

G.f.: 1/(1-x*Product(k>=0,1+2x^(2^k))).