A360088 a(n) = Sum_{k=0..n} (-1)^k * binomial(4*k,n-k).

1, -1, -3, 1, 13, 4, -49, -46, 165, 284, -476, -1417, 1003, 6220, -110, -24644, -14831, 88184, 113224, -278288, -619744, 715647, 2891977, -1036173, -12068353, -3381661, 45588556, 41600921, -154355594, -259984429, 448828716, 1305250324, -964837159, -5754843123

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (-1,-4,-6,-4,-1).

Formula

a(n) = -a(n-1) - 4*a(n-2) - 6*a(n-3) - 4*a(n-4) - a(n-5).

G.f.: 1/(1 + x*(1+x)^4).

Prog

(PARI) a(n) = sum(k=0, n, (-1)^k*binomial(4*k, n-k));
(PARI) my(N=40, x='x+O('x^N)); Vec(1/(1+x*(1+x)^4))

Crossrefs

Cf. A077979, A360087, A360089.

Cf. A099235.

Sequence in context: A277197 A297898 A322384 * A113139 A266577 A143411

Adjacent sequences: A360085 A360086 A360087 * A360089 A360090 A360091

Keyword

sign,easy

Author

Seiichi Manyama, Jan 25 2023

Status

approved