A373512 Expansion of 1/(1 - x/(1 - 16*x^8)^(1/8)).

1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 5, 7, 9, 11, 13, 15, 17, 37, 61, 89, 121, 157, 197, 241, 289, 545, 877, 1293, 1801, 2409, 3125, 3957, 4913, 8551, 13469, 19891, 28057, 38223, 50661, 65659, 83521, 138227, 213997, 315575, 448297, 618123, 831669, 1096239, 1419857

Offset

0,10

Links

Table of n, a(n) for n=0..48.

Formula

a(8*n) = 17^(n-1) for n > 0.

a(n) = Sum_{k=0..floor(n/8)} 16^k * binomial(n/8-1,k).

Prog

(PARI) a(n) = sum(k=0, n\8, 16^k*binomial(n/8-1, k));

Crossrefs

Cf. A098615, A373509.

Sequence in context: A192863 A143450 A225563 * A294923 A005842 A204458

Adjacent sequences: A373509 A373510 A373511 * A373513 A373514 A373515

Keyword

nonn

Author

Seiichi Manyama, Jun 07 2024

Status

approved