A168153 - OEIS

%I #13 Sep 08 2022 08:45:48

%S 0,1,1026,88578,2097160,24414075,181398546,988663396,4294967328,

%T 15690529845,50000000050,142655835366,371504185416,896080197103,

%U 2024782584930,4324877929800,8796093022336,17135948153961,32134205039778,58245129449290,102400000000200

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

%H T. D. Noe, <a href="/A168153/b168153.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

%F G.f.: x*(1 + 1014*x + 76332*x^2 + 1101720*x^3 + 4869078*x^4 + 7862124*x^5 + 4869036*x^6 + 1101768*x^7 + 76305*x^8 + 1022*x^9)/(1-x)^12. - _Vincenzo Librandi_, Jul 15 2016

%t Table[n^2*(n^9 + 1)/2, {n,0,50}] (* _G. C. Greubel_, Jul 15 2016 *)

%o (Magma) [n^2*(n^9+1)/2: n in [0..25]]; // _Vincenzo Librandi_, Jul 15 2016

%K nonn,easy

%O 0,3

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