A373463 Expansion of 1/((1 + x)^5 - 2*x^5).

1, -5, 15, -35, 70, -124, 190, -220, 55, 715, -2999, 8585, -20580, 43520, -81940, 134376, -176195, 118435, 279235, -1572395, 4900626, -12339900, 27139450, -53163300, 91745475, -131888749, 125584845, 66464465, -781173960, 2736565920, -7295547624, 16717081040

Offset

0,2

Links

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (-5,-10,-10,-5,1).

Formula

a(n) = -5*a(n-1) - 10*a(n-2) - 10*a(n-3) - 5*a(n-4) + a(n-5).

a(n) = (-1)^n * Sum_{k=0..floor(n/5)} (-2)^k * binomial(n+4,5*k+4).

Prog

(PARI) my(N=40, x='x+O('x^N)); Vec(1/((1+x)^5-2*x^5))

Crossrefs

Cf. A108369, A375163.

Cf. A000750.

Sequence in context: A374714 A341134 A292103 * A290447 A360051 A000750

Adjacent sequences: A373460 A373461 A373462 * A373464 A373465 A373466

Keyword

sign,easy

Author

Seiichi Manyama, Aug 04 2024

Status

approved