A371988 G.f. A(x) satisfies A(x) = ( 1 + 16*x*(1 + A(x)) )^(1/4).

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

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

Cf. A371987.

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