A373583 Expansion of 1 / ( (1 - 16*x^4) * (1 - x/(1 - 16*x^4)^(1/4)) ).

1, 1, 1, 1, 17, 21, 25, 29, 289, 397, 521, 661, 4913, 7229, 10137, 13701, 83521, 129133, 190249, 269877, 1419857, 2280125, 3492281, 5149701, 24137569, 39950221, 63153481, 96159061, 410338673, 696126557, 1129839065, 1767607973, 6975757441, 12080257069

Offset

0,5

Links

Table of n, a(n) for n=0..33.

Formula

a(4*n) = 17^n for n >= 0.

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

a(n) == 1 (mod 4).

Prog

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

Crossrefs

Cf. A000079, A100095, A373278, A373621.

Cf. A373627.

Sequence in context: A039505 A166875 A282109 * A307863 A128546 A188200

Adjacent sequences: A373580 A373581 A373582 * A373584 A373585 A373586

Keyword

nonn

Author

Seiichi Manyama, Jun 11 2024

Status

approved