A364539 - OEIS

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

A364539

G.f. satisfies A(x) = 1 + x*A(x) + x^3*A(x)^5.

1

1, 1, 1, 2, 7, 22, 62, 182, 583, 1928, 6358, 21063, 70888, 241889, 831634, 2874584, 9995579, 34966279, 122938956, 434062141, 1538378816, 5471697241, 19525345791, 69880082323, 250767909528, 902123110483, 3252793321513, 11753570922933, 42553831219830

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

OFFSET

0,4

LINKS

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

FORMULA

a(n) = Sum_{k=0..floor(n/3)} binomial(n+2*k,5*k) * binomial(5*k,k) / (4*k+1).

PROG

(PARI) a(n) = sum(k=0, n\3, binomial(n+2*k, 5*k)*binomial(5*k, k)/(4*k+1));

CROSSREFS

Cf. A063019, A182454, A349311, A364522.

Cf. A023431, A071879, A215340.

Sequence in context: A183156 A018039 A198888 * A084264 A333678 A088211

Adjacent sequences: A364536 A364537 A364538 * A364540 A364541 A364542

KEYWORD

nonn,easy

AUTHOR

Seiichi Manyama, Jul 28 2023

STATUS

approved