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 A360088 a(n) = Sum_{k=0..n} (-1)^k * binomial(4*k,n-k). 2
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 18 12:18 EDT 2024. Contains 372630 sequences. (Running on oeis4.)