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%I #10 Sep 08 2022 08:45:49
%S 0,1,4608,826686,34078720,615234375,6560580096,48585742828,
%T 275414777856,1272676306365,5005000000000,17274324784266,
%U 53527561371648,151506482542051,397002013954560,973385859375000,2252349569499136
%N a(n) = n^10*(n^3 + 1)/2.
%H Vincenzo Librandi, <a href="/A170795/b170795.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (14,-91,364,-1001,2002,-3003,3432, -3003,2002,-1001,364,-91,14,-1).
%F G.f.: (x + 4594*x^2 + 762265*x^3 + 22924080*x^4 + 211684410*x^5 + 752159268*x^6 + 1137586002*x^7 + 753462240*x^8 + 211597125*x^9 + 22609370*x^10 + 717461*x^11 + 3584*x^12)/(1-x)^14. - _G. C. Greubel_, Dec 06 2017
%t Table[n^10*(n^3+1)/2, {n,0,30}] (* _G. C. Greubel_, Dec 06 2017 *)
%o (Magma)[n^10*(n^3+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Aug 26 2011
%o (PARI) for(n=0,30, print1(n^10*(n^3+1)/2, ", ")) \\ _G. C. Greubel_, Dec 06 2017
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Dec 11 2009
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