A366400 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A366400

G.f. A(x) satisfies A(x) = (1 + x * A(x)^(5/2)) / (1 - x).

1, 2, 7, 32, 167, 942, 5593, 34438, 217888, 1407938, 9252168, 61641846, 415412036, 2826736736, 19395080061, 134034296976, 932110471089, 6518146460274, 45805553781349, 323313555424924, 2291130483593189, 16294149468133930, 116259325138469680

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = Sum_{k=0..n} binomial(n+3*k/2,n-k) * binomial(5*k/2,k) / (3*k/2+1).

PROG

(PARI) a(n) = sum(k=0, n, binomial(n+3*k/2, n-k)*binomial(5*k/2, k)/(3*k/2+1));

CROSSREFS

Cf. A349311, A366401, A366402, A366403, A366404, A366405, A366406, A366407.

Sequence in context: A363562 A263532 A108524 * A226269 A006781 A330075

Adjacent sequences: A366397 A366398 A366399 * A366401 A366402 A366403

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 09 2023

STATUS

approved