A369688 - OEIS

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

A369688

G.f. satisfies A(x) = 1 + x*A(x) + x^2*(1-x)^3*A(x)^5.

0

1, 1, 2, 4, 12, 36, 126, 442, 1644, 6172, 23801, 92731, 366688, 1462852, 5891808, 23898576, 97600556, 400844140, 1654818768, 6862550360, 28576414261, 119434041561, 500849380048, 2106740001442, 8886482895068, 37580609774876, 159303913630686

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

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..26.

FORMULA

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

PROG

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

CROSSREFS

Cf. A227035, A346647, A364522, A364597.

Cf. A049130, A364594.

Sequence in context: A148209 A148210 A148211 * A009152 A081443 A086647

Adjacent sequences: A369685 A369686 A369687 * A369689 A369690 A369691

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jan 28 2024

STATUS

approved