%I #14 Sep 08 2022 08:45:49

%S 0,1,1536,118098,2621440,29296875,211631616,1129900996,4831838208,

%T 17433922005,55000000000,155624547606,402462867456,965009442943,

%U 2169409912320,4613203125000,9345848836096,18143945104041

%N a(n) = n^10*(n + 1)/2.

%H Vincenzo Librandi, <a href="/A170793/b170793.txt">Table of n, a(n) for n = 0..10000</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 + 1524*x^2 + 99732*x^3 + 1305420*x^4 + 5296638*x^5 + 7862124*x^6 + 4441476*x^7 + 898068*x^8 + 52905*x^9 + 512*x^10)/(1-x)^12. - _G. C. Greubel_, Dec 06 2017

%t Table[n^10*(n+1)/2, {n,0,30}] (* _G. C. Greubel_, Dec 06 2017 *)

%t LinearRecurrence[{12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{0,1,1536,118098,2621440,29296875,211631616,1129900996,4831838208,17433922005,55000000000,155624547606},20] (* _Harvey P. Dale_, Dec 06 2018 *)

%o (Magma) [n^10*(n+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Aug 26 2011

%o (PARI) for(n=0,30, print1(n^10*(n+1)/2, ", ")) \\ _G. C. Greubel_, Dec 06 2017

%K nonn,easy

%O 0,3

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