A366222 - OEIS

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A366222

G.f. A(x) satisfies A(x) = 1 + x*(1 + x)^4*A(x)^3.

2

1, 1, 7, 42, 287, 2114, 16338, 130802, 1075355, 9025656, 77021482, 666267502, 5829209046, 51492030953, 458612500526, 4113879873624, 37133888342707, 337041718357465, 3074153880004188, 28162578841220534, 259020296989987934, 2390818256963083305

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(n) = Sum_{k=0..n} binomial(4*k,n-k) * binomial(3*k,k)/(2*k+1).

PROG

(PARI) a(n) = sum(k=0, n, binomial(4*k, n-k)*binomial(3*k, k)/(2*k+1));

CROSSREFS

Cf. A364475, A366200, A366221.

Cf. A099235, A360082.

Sequence in context: A221794 A187246 A278152 * A332082 A271427 A073506

Adjacent sequences: A366219 A366220 A366221 * A366223 A366224 A366225

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 04 2023

STATUS

approved