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.

A017141 a(n) = (8*n+6)^5.

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%I A017141 #22 Apr 26 2023 06:17:53
%S A017141 7776,537824,5153632,24300000,79235168,205962976,459165024,916132832,
%T A017141 1680700000,2887174368,4704270176,7339040224,11040808032,16105100000,
%U A017141 22877577568,31757969376,43204003424,57735339232,75937500000,98465804768,126049300576,159494694624,199690286432
%N A017141 a(n) = (8*n+6)^5.
%H A017141 Vincenzo Librandi, <a href="/A017141/b017141.txt">Table of n, a(n) for n = 0..10000</a>
%H A017141 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A017141 G.f.: 32*(x^5+3119*x^4+40314*x^3+63854*x^2+15349*x+243)/(x-1)^6. - _Colin Barker_, Sep 17 2012
%F A017141 From _Amiram Eldar_, Apr 26 2023: (Start)
%F A017141 a(n) = A017137(n)^5.
%F A017141 a(n) = 2^5*A016841(n).
%F A017141 Sum_{n>=0} 1/a(n) = 31*zeta(5)/2048 - 5*Pi^5/98304. (End)
%t A017141 Table[(8*n + 6)^5, {n, 0, 30}] (* _Amiram Eldar_, Apr 26 2023 *)
%o A017141 (Magma) [(8*n+6)^5: n in [0..30]]; // _Vincenzo Librandi_, Jul 22 2011
%Y A017141 Cf. A013663, A016841, A017137.
%K A017141 nonn,easy
%O A017141 0,1
%A A017141 _N. J. A. Sloane_