cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A168462 a(n) = n^5*(n^8 + 1)/2.

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%I A168462 #17 Mar 20 2025 04:32:17
%S A168462 0,1,4112,797283,33554944,610353125,6530350896,48444513607,
%T A168462 274877923328,1270932943689,5000000050000,17261356152491,
%U A168462 53496602813952,151437553481773,396857386895984,973097534559375,2251799814209536
%N A168462 a(n) = n^5*(n^8 + 1)/2.
%H A168462 Vincenzo Librandi, <a href="/A168462/b168462.txt">Table of n, a(n) for n = 0..10000</a>
%H A168462 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (14,-91,364,-1001,2002,-3003,3432,-3003,2002,-1001,364,-91,14,-1).
%F A168462 From _G. C. Greubel_, Mar 20 2025: (Start)
%F A168462 G.f.: x*(1 +4098*x +739806*x^2 +22766810*x^3 +211640895*x^4 +752810148*x^5 +1137586884*x^6 +752810148*x^7 +211640895*x^8 +22766810*x^9 +739806*x^10 +4098*x^11 + x^12)/(1-x)^14.
%F A168462 E.g.f.: (1/2)*x*(2 +4110*x +261650*x^2 +2532540*x^3 +7508502*x^4 +9321312*x^5 +5715424*x^6 +1899612*x^7 +359502*x^8 +39325*x^9 +2431*x^10 +78*x^11 +x^12)*exp(x). (End)
%t A168462 Table[n^5 (n^8+1)/2,{n,0,30}] (* _Harvey P. Dale_, Jan 10 2013 *)
%o A168462 (Magma) [n^5*(n^8+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 29 2011
%o A168462 (SageMath)
%o A168462 def A168462(n): return n^5*(n^8+1)//2
%o A168462 print([A168462(n) for n in range(31)]) # _G. C. Greubel_, Mar 20 2025
%Y A168462 Cf. A168351.
%K A168462 nonn,easy
%O A168462 0,3
%A A168462 _N. J. A. Sloane_, Dec 11 2009