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.

A168471 a(n) = n^5*(n^9 + 1)/2.

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%I A168471 #20 Mar 20 2025 04:32:24
%S A168471 0,1,8208,2391606,134218240,3051759375,39182085936,339111544828,
%T A168471 2199023271936,11438396257005,50000000050000,189874916872146,
%U A168471 641959232398848,1968688193035291,5556003413047920,14596463013075000
%N A168471 a(n) = n^5*(n^9 + 1)/2.
%H A168471 Vincenzo Librandi, <a href="/A168471/b168471.txt">Table of n, a(n) for n = 0..10000</a>
%H A168471 <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 A168471 G.f.: x* (1 + 8193*x + 2268591*x^2 + 99205535*x^3 + 1285871130*x^4 + 6421630698*x^5 + 13985589534*x^6 + 13985586558*x^7 + 6421632165*x^8 + 1285871045*x^9 + 99205251*x^10 + 2268723*x^11 + 8176*x^12)/(1 - x)^15. - _Vincenzo Librandi_, Jul 24 2016
%t A168471 Table[n^5*(n^9 + 1)/2, {n,0,30}] (* _G. C. Greubel_, Jul 23 2016 *)
%o A168471 (Magma) [n^5*(n^9+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 29 2011
%o A168471 (SageMath)
%o A168471 def A168471(n): return n^5*(n^9+1)//2
%o A168471 print([A168471(n) for n in range(31)]) # _G. C. Greubel_, Mar 20 2025
%Y A168471 Cf. A168351.
%K A168471 nonn,easy
%O A168471 0,3
%A A168471 _N. J. A. Sloane_, Dec 11 2009