A371490 Expansion of 1/(1 - x/(1 - 8*x)^(1/4)).

1, 1, 3, 15, 91, 601, 4155, 29553, 214303, 1575931, 11712599, 87776507, 662224819, 5023611579, 38284084575, 292892970967, 2248271735299, 17307950940833, 133580448494227, 1033263820897777, 8008342899292167, 62179343789159945, 483553052098053915

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} 8^k * binomial((n+3*k)/4-1,k).

Prog

(PARI) a(n) = sum(k=0, n, 8^k*binomial((n+3*k)/4-1, k));

Crossrefs

Cf. A373509.

Sequence in context: A077783 A347319 A047019 * A099251 A364740 A371435

Adjacent sequences: A371487 A371488 A371489 * A371491 A371492 A371493

Keyword

nonn

Author

Seiichi Manyama, Jun 07 2024

Status

approved