A364737 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^4).

1, 1, 0, -4, -6, 28, 119, -116, -1820, -2128, 22212, 79877, -172700, -1652728, -857428, 25387284, 71506309, -268817888, -1838702048, 449975584, 33164610276, 68575577309, -429542625096, -2221814345660, 2539462697398, 46048818685880, 61721413191310

Offset

0,4

Links

Table of n, a(n) for n=0..26.

Formula

a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+3*k,n-1-k) for n > 0.

Prog

(PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+3*k, n-1-k))/n);

Crossrefs

Cf. A364735, A364736, A364738.

Sequence in context: A093815 A142859 A259087 * A056221 A046849 A090530

Adjacent sequences: A364734 A364735 A364736 * A364738 A364739 A364740

Keyword

sign

Author

Seiichi Manyama, Aug 05 2023

Status

approved