

A131682


a(n) = (n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)/3!.


2



2, 7, 42, 242, 1050, 3537, 9842, 23732, 51282, 101675, 188122, 328902, 548522, 878997, 1361250, 2046632, 2998562, 4294287, 6026762, 8306650, 11264442, 15052697, 19848402, 25855452, 33307250, 42469427, 53642682, 67165742, 83418442, 102824925, 125856962
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OFFSET

0,1


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000


FORMULA

G.f.: (27*x+35*x^2+25*x^3+63*x^4+2*x^5)/(1x)^7.  R. J. Mathar, Nov 14 2007 (Minor edits from Jaume Oliver Lafont, Sep 30 2009)


MATHEMATICA

Table[(n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)/3!, {n, 0, 50}] (* G. C. Greubel, Feb 21 2017 *)


PROG

(PARI) x='x+O('x^50); Vec((27*x+35*x^2+25*x^3+63*x^4+2*x^5)/(1x)^7) \\ G. C. Greubel, Feb 21 2017


CROSSREFS

See A049614.
Sequence in context: A191601 A265772 A109172 * A317349 A158840 A038052
Adjacent sequences: A131679 A131680 A131681 * A131683 A131684 A131685


KEYWORD

nonn


AUTHOR

Alexander R. Povolotsky, Aug 29 2007


STATUS

approved



