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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
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
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.)