A364736 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^3).

1, 1, 0, -3, -3, 17, 45, -90, -546, 130, 5832, 7074, -53625, -159214, 374517, 2419131, -728364, -30011530, -37519884, 307731042, 940757526, -2343385995, -15421126275, 5164279686, 203045257272, 255851517115, -2186669342070, -6760669947375, 17391580425180

Offset

0,4

Links

Table of n, a(n) for n=0..28.

Formula

a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+2*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+2*k, n-1-k))/n);

Crossrefs

Cf. A364735, A364737, A364738.

Cf. A300048.

Sequence in context: A014783 A090524 A215808 * A215076 A095106 A130184

Adjacent sequences: A364733 A364734 A364735 * A364737 A364738 A364739

Keyword

sign

Author

Seiichi Manyama, Aug 05 2023

Status

approved