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.

A168371 a(n) = n^5*(n^3 + 1)/2.

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%I A168371 #17 Sep 08 2022 08:45:49
%S A168371 0,1,144,3402,33280,196875,843696,2890804,8404992,21552885,50050000,
%T A168371 107259966,215115264,408051007,738163440,1281825000,2148007936,
%U A168371 3488588649,5510925072,8493019570,12801600000,18913471731,27440513584
%N A168371 a(n) = n^5*(n^3 + 1)/2.
%H A168371 Vincenzo Librandi, <a href="/A168371/b168371.txt">Table of n, a(n) for n = 0..10000</a>
%H A168371 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A168371 From _G. C. Greubel_, Jul 19 2016: (Start)
%F A168371 a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9).
%F A168371 G.f.: x*(1 + 135*x + 2142*x^2 + 7762*x^3 + 7857*x^4 + 2151*x^5 + 112*x^6)/(1 - x)^9. (End)
%t A168371 Table[n^5*(n^3 + 1)/2,{n,0,50}] (* _G. C. Greubel_, Jul 19 2016 *)
%t A168371 LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{0,1,144,3402,33280,196875,843696,2890804,8404992},30] (* _Harvey P. Dale_, Apr 02 2017 *)
%o A168371 (Magma) [n^5*(n^3+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 28 2011
%o A168371 (PARI) a(n) = n^5*(n^3+1)/2 \\ _Felix Fröhlich_, Jul 19 2016
%K A168371 nonn,easy
%O A168371 0,3
%A A168371 _N. J. A. Sloane_, Dec 11 2009