A364196 - OEIS

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A364196

Expansion of g.f. A(x) satisfying A(x) = 1 + x * A(x)^5 * (1 + A(x)^3).

1, 2, 26, 490, 10850, 263010, 6756570, 180732778, 4980586114, 140426468098, 4031581757786, 117456808452906, 3463846465750114, 103200018840208098, 3101624265076611482, 93922235608046966058, 2862850624269320061954, 87768126789137804695298, 2704569471624358219362714

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = Sum_{k=0..n} binomial(n,k) * binomial(5*n+3*k+1,n)/(5*n+3*k+1).

PROG

(PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(5*n+3*k+1, n)/(5*n+3*k+1));

CROSSREFS

Cf. A217364, A363006, A363305, A364195.

Sequence in context: A228411 A364827 A371700 * A216254 A177316 A255538

Adjacent sequences: A364193 A364194 A364195 * A364197 A364198 A364199

KEYWORD

nonn,easy

AUTHOR

Seiichi Manyama, Jul 13 2023

STATUS

approved