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

0,3

Comments

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

Links

Table of n, a(n) for n=0..30.

Formula

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

Crossrefs

Sequence in context: A274596 A374728 A348008 * A141344 A280756 A029855

Adjacent sequences: A185693 A185694 A185695 * A185697 A185698 A185699

Keyword

nonn,easy

Author

Paul Barry, Feb 10 2011

Status

approved