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

%I

%S 2,7,42,242,1050,3537,9842,23732,51282,101675,188122,328902,548522,

%T 878997,1361250,2046632,2998562,4294287,6026762,8306650,11264442,

%U 15052697,19848402,25855452,33307250,42469427,53642682,67165742,83418442,102824925,125856962

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

%H G. C. Greubel, <a href="/A131682/b131682.txt">Table of n, a(n) for n = 0..1000</a>

%F 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)

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

%o (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

%Y See A049614.

%K nonn

%O 0,1

%A _Alexander R. Povolotsky_, Aug 29 2007

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Last modified January 26 14:08 EST 2020. Contains 331280 sequences. (Running on oeis4.)