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%I #17 Sep 08 2022 08:45:49
%S 0,1,96,1458,10240,46875,163296,470596,1179648,2657205,5500000,
%T 10629366,19408896,33787663,56471520,91125000,142606336,217238121,
%U 323116128,470458810,672000000,943427331,1303868896,1776430668,2388787200,3173828125,4170362976
%N a(n) = n^6*(n + 1)/2.
%H Vincenzo Librandi, <a href="/A168526/b168526.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F From _R. J. Mathar_, Dec 16 2009: (Start)
%F a(n) = 8*a(n-1) -28*a(n-2) +56*a(n-3) -70*a(n-4) +56*a(n-5) -28*a(n-6) +8*a(n-7) -a(n-8).
%F G.f.: x*(1 + 88*x + 718*x^2 + 1208*x^3 + 473*x^4 + 32*x^5)/(x-1)^8. (End)
%t Table[n^6*(n + 1)/2, {n,0,25}] (* _G. C. Greubel_, Jul 25 2016 *)
%o (Magma) [n^6*(n+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Jul 25 2016
%Y Cf. A168029.
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Dec 11 2009