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 A165935 a(n) = (-1)^(n-1)*n*(4n^2-5)^2. 1
 1, -242, 2883, -13924, 45125, -115926, 255367, -504008, 915849, -1560250, 2523851, -3912492, 5853133, -8495774, 12015375, -16613776, 22521617, -30000258, 39343699, -50880500 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS These are the partial sums of the alternating series of odd fifth powers beginning with 1. See A016757. LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (-6,-15,-20,-15,-6,-1). FORMULA G.f.: x*(1-236*x+1446*x^2-236*x^3+x^4) / (1+x)^6. - R. J. Mathar, Nov 27 2011 E.g.f.: x*(1 - 120*x + 360*x^2 - 160*x^3 + 16*x^4)*exp(-x). - Ilya Gutkovskiy, Apr 17 2016 MATHEMATICA Table[(-1)^(n - 1)*n*(4*n^2 - 5)^2, {n, 1, 50}] (* G. C. Greubel, Apr 18 2016 *) LinearRecurrence[{-6, -15, -20, -15, -6, -1}, {1, -242, 2883, -13924, 45125, -115926}, 20] (* Harvey P. Dale, Mar 24 2020 *) PROG (PARI) vector(100, n, (-1)^(n-1)*n*(4*n^2-5)^2) \\ Altug Alkan, Apr 18 2016 CROSSREFS Cf. A016757. Sequence in context: A258886 A354563 A354565 * A318529 A006601 A283723 Adjacent sequences: A165932 A165933 A165934 * A165936 A165937 A165938 KEYWORD easy,sign AUTHOR Richard L. Peterson (rl_pete(AT)yahoo.com), Oct 01 2009 STATUS approved

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Last modified May 20 08:05 EDT 2024. Contains 372703 sequences. (Running on oeis4.)