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 A294372 Expansion of (1-x)^4/(x^2 + 4*x + 1). 3
 1, -8, 37, -144, 540, -2016, 7524, -28080, 104796, -391104, 1459620, -5447376, 20329884, -75872160, 283158756, -1056762864, 3943892700, -14718807936, 54931339044, -205006548240, 765094853916, -2855372867424, 10656396615780, -39770213595696, 148424457767004 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1746 Index entries for linear recurrences with constant coefficients, signature (-4,-1). FORMULA G.f.: 1/Sum_{k>=0} (k+1)^3*x^k. From Colin Barker, Dec 19 2017: (Start) a(n) = -6*sqrt(3)*((-2-sqrt(3))^n*(-2+sqrt(3)) + (-2+sqrt(3))^n*(2+sqrt(3))) for n > 2. a(n) = -4*a(n-1) - a(n-2) for n > 4. (End) PROG (PARI) N=66; x='x+O('x^N); Vec((1-x)^4/(x^2+4*x+1)) CROSSREFS Cf. A000578, A296617. Sequence in context: A055799 A035038 A240188 * A256412 A272731 A272806 Adjacent sequences:  A294369 A294370 A294371 * A294373 A294374 A294375 KEYWORD sign,easy AUTHOR Seiichi Manyama, Dec 19 2017 STATUS approved

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Last modified November 27 20:49 EST 2021. Contains 349395 sequences. (Running on oeis4.)