A373510 Expansion of 1/(1 - x/(1 - 25*x^5)^(1/5)).

1, 1, 1, 1, 1, 1, 6, 11, 16, 21, 26, 106, 211, 341, 496, 676, 2256, 4611, 7866, 12146, 17576, 51781, 106761, 188266, 302671, 456976, 1236306, 2552661, 4602416, 7620071, 11881376, 30218956, 62278561, 114056566, 193134346, 308915776, 749942856, 1540351961

Offset

0,7

Links

Table of n, a(n) for n=0..37.

Formula

a(5*n) = 26^(n-1) for n > 0.

a(n) = Sum_{k=0..floor(n/5)} 25^k * binomial(n/5-1,k).

a(n) == 1 (mod 5).

Prog

(PARI) a(n) = sum(k=0, n\5, 25^k*binomial(n/5-1, k));

Crossrefs

Cf. A066872, A098615, A371458, A373511.

Sequence in context: A315471 A315472 A315473 * A315474 A315475 A315476

Adjacent sequences: A373507 A373508 A373509 * A373511 A373512 A373513

Keyword

nonn

Author

Seiichi Manyama, Jun 07 2024

Status

approved