%I #14 Sep 08 2022 08:45:49
%S 0,1,2064,265842,8389120,122071875,1088395056,6920652004,34359754752,
%T 141214797765,500000050000,1569214268886,4458050348544,11649042746887,
%U 28346956456560,64873169325000,140737488879616,291311119324809
%N a(n) = n^5*(n^7 + 1)/2.
%H Vincenzo Librandi, <a href="/A168432/b168432.txt">Table of n, a(n) for n = 0..10000</a>
%F G.f.: x* (1 + 2051*x + 239088*x^2 + 5093880*x^3 + 33159402*x^4 + 81255702*x^5 + 81256584*x^6 + 33159072*x^7 + 5093805*x^8 + 239183*x^9 + 2032*x^10)/(1-x)^13. - _Vincenzo Librandi_, Jul 23 2016
%t Table[n^5*(n^7 + 1)/2, {n,0,25}] (* _G. C. Greubel_, Jul 22 2016 *)
%t CoefficientList[Series[x (1 + 2051 x + 239088 x^2 + 5093880 x^3 + 33159402 x^4 + 81255702 x^5 + 81256584 x^6 + 33159072 x^7 + 5093805 x^8 + 239183 x^9 + 2032 x^10)/(1-x)^13, {x, 0, 30}], x] (* _Vincenzo Librandi_, Jul 23 2016 *)
%o (Magma) [n^5*(n^7+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 29 2011
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Dec 11 2009
|