A371988 - OEIS

(Translated by https://www.hiragana.jp/)
A371988 - OEIS

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

A371988

G.f. A(x) satisfies A(x) = ( 1 + 16*x*(1 + A(x)) )^(1/4).

1

1, 8, -64, 768, -10240, 139264, -1835008, 22020096, -207618048, 461373440, 47982837760, -1804154699776, 47459388620800, -1075356731703296, 22196390985728000, -425460422414434304, 7596492850955550720, -125084110746588020736, 1842147113923814359040

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

OFFSET

0,2

LINKS

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

FORMULA

a(n) = 16^n * Sum_{k=0..n} binomial(n,k) * binomial(k/4+1/4,n)/(k+1).

PROG

(PARI) a(n) = 16^n*sum(k=0, n, binomial(n, k)*binomial(k/4+1/4, n)/(k+1));

CROSSREFS

Sequence in context: A088038 A061435 A133054 * A098560 A087138 A293144

Adjacent sequences: A371985 A371986 A371987 * A371989 A371990 A371991

KEYWORD

sign

AUTHOR

Seiichi Manyama, Apr 15 2024

STATUS

approved