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%I #13 Sep 08 2022 08:45:49
%S 0,1,8320,2394765,134250496,3051953125,39182921856,339114418825,
%T 2199031644160,11438417750841,50000050000000,189875023971061,
%U 641959447265280,1968688600715005,5556004150673536,14596464294140625
%N a(n) = n^8*(n^6 + 1)/2.
%H Vincenzo Librandi, <a href="/A170778/b170778.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 + 8305*x^2 + 2270070*x^3 + 99202166*x^4 + 1285861775*x^5 + 6421662783*x^6 + 13985567700*x^7 + 13985567700*x^8 + 6421662783*x^9 + 1285861775*x^10 + 99202166*x^11 + 2270070*x^12 + 8305*x^13 + x^14)/(1-x)^15. - _G. C. Greubel_, Dec 05 2017
%t Table[n^8*(n^6+1)/2, {n,0,30}] (* _G. C. Greubel_, Dec 05 2017 *)
%o (Magma) [n^8*(n^6+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 26 2011
%o (PARI) for(n=0, 30, print1(n^8*(n^6+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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