

A165935


a(n) = (1)^(n1)*n*(4n^25)^2.


1



1, 242, 2883, 13924, 45125, 115926, 255367, 504008, 915849, 1560250, 2523851, 3912492, 5853133, 8495774, 12015375, 16613776, 22521617, 30000258, 39343699, 50880500
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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*(1236*x+1446*x^2236*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 *)


PROG

(PARI) vector(100, n, (1)^(n1)*n*(4*n^25)^2) \\ Altug Alkan, Apr 18 2016


CROSSREFS

Cf. A016757.
Sequence in context: A234484 A160551 A258886 * 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



