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%I #11 Sep 08 2022 08:45:49
%S 0,1,2304,275562,8519680,123046875,1093430016,6940820404,34426847232,
%T 141408478485,500500000000,1570393162206,4460630114304,11654344810927,
%U 28357286711040,64892390625000,140771848093696,291370412553129
%N a(n) = n^9*(n^3 + 1)/2.
%H Vincenzo Librandi, <a href="/A170785/b170785.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1).
%F G.f.: (x + 2291*x^2 + 245688*x^3 + 5116800*x^4 + 33126642*x^5 + 81191022* x^6 + 81321264*x^7 + 33191832*x^8 + 5070885*x^9 + 232583*x^10 + 1792* x^11)/(1-x)^13. - _G. C. Greubel_, Dec 05 2017
%t Table[n^9*(n^3+1)/2, {n, 0, 30}] (* _G. C. Greubel_, Dec 05 2017 *)
%o (Magma) [n^9*(n^3+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Aug 26 2011
%o (PARI) for(n=0, 30, print1(n^9*(n^3+1)/2, ", ")) \\ _G. C. Greubel_, Dec 05 2017
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Dec 11 2009
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