A170787 - OEIS

%I #10 Sep 08 2022 08:45:49

%S 0,1,8448,2401326,134348800,3052734375,39187120896,339131713228,

%T 2199090364416,11438589937725,50000500000000,189876095765466,

%U 641961812164608,1968693495099331,5556013743302400,14596482234375000

%N a(n) = n^9*(n^5 + 1)/2.

%H Vincenzo Librandi, <a href="/A170787/b170787.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (15, -105, 455, -1365, 3003, -5005, 6435, -6435, 5005, -3003, 1365, -455, 105, -15, 1).

%F G.f.: (x + 8433*x^2 + 2274711*x^3 + 99215495*x^4 + 1285799130*x^5 + 6421654458*x^6 + 13985750814*x^7 + 13985425278*x^8 + 6421608405*x^9 + 1285943045*x^10 + 99195291*x^11 + 2262603*x^12 + 7936*x^13)/(1-x)^15. - _G. C. Greubel_, Dec 06 2017

%t Table[n^9*(n^5 + 1)/2, {n, 0, 30}] (* _G. C. Greubel_, Dec 06 2017 *)

%o (Magma) [n^9*(n^5+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Aug 26 2011

%o (PARI) for(n=0,30, print1(n^9*(n^5+1)/2, ", ")) \\ _G. C. Greubel_, Dec 06 2017

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, Dec 11 2009