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

0,1

Links

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

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)

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

Crossrefs

See A049614.

Sequence in context: A191601 A265772 A109172 * A366453 A380613 A345368

Adjacent sequences: A131679 A131680 A131681 * A131683 A131684 A131685

Keyword

nonn

Author

Alexander R. Povolotsky, Aug 29 2007

Status

approved