Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #10 Sep 08 2022 08:45:49
%S 0,1,16448,7175547,536879104,15258828125,235092632256,2373781166743,
%T 17592187092992,102945568438809,500000005000000,2088624094451411,
%U 7703510805209088,25592946538419637,77784047831612864
%N a(n) = n^7*(n^8 + 1)/2.
%H Vincenzo Librandi, <a href="/A168665/b168665.txt">Table of n, a(n) for n = 0..10000</a>
%F From _G. C. Greubel_, Jul 29 2016: (Start)
%F G.f.: x*(1 + 16432*x + 6912499*x^2 + 424043552*x^3 + 7520619041*x^4 + 51388499408*x^5 + 155693786091*x^6 + 223769429952*x^7 + 155693786091*x^8 + 51388499408*x^9 + 7520619041*x^10 + 424043552*x^11 + 6912499*x^12 + 16432*x^13 + x^14)/(1 - x)^16.
%F E.g.f.: (1/2)*x*(2 + 16446*x + 2375402*x^2 + 42356300*x^3 + 210767060*x^4 + 420693294*x^5 + 408741334*x^6 + 216627840*x^7 + 67128490*x^8 + 12662650*x^9 + 1479478*x^10 + 106470*x^11 + 4550*x^12 + 105*x^13 + x^14)*exp(x). (End)
%t Table[n^7*(n^8 + 1)/2, {n,0,50}] (* _G. C. Greubel_, Jul 29 2016 *)
%o (Magma) [n^7*(n^8+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Aug 28 2011
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_, Dec 11 2009