A131682 a(n) = (n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)/3!.

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

Offset: 0

Author

Alexander R. Povolotsky, Aug 29 2007

Keywords

• nonn

Links

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

Crossrefs

See A049614.

Programs

Mathematica

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

PARI

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

Formula

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