A364735 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^2).

1, 1, 0, -2, -1, 8, 10, -37, -84, 168, 660, -624, -4950, 583, 35464, 23166, -240513, -359008, 1511640, 3898100, -8387664, -36522256, 35444728, 311764768, -25659766, -2466384737, -1793133360, 18077558170, 28951038285, -120750295320, -330486900870

Offset

0,4

Links

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

Formula

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

Crossrefs

Cf. A364736, A364737, A364738.

Cf. A106228.

Sequence in context: A261157 A193728 A295582 * A192424 A211192 A160614

Adjacent sequences: A364732 A364733 A364734 * A364736 A364737 A364738

Keyword

sign

Author

Seiichi Manyama, Aug 05 2023

Status

approved