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.

A016925 a(n) = (6*n + 1)^5.

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%I A016925 #16 Mar 28 2022 07:41:10
%S A016925 1,16807,371293,2476099,9765625,28629151,69343957,147008443,282475249,
%T A016925 503284375,844596301,1350125107,2073071593,3077056399,4437053125,
%U A016925 6240321451,8587340257,11592740743,15386239549,20113571875,25937424601,33038369407,41615795893,51888844699
%N A016925 a(n) = (6*n + 1)^5.
%H A016925 Vincenzo Librandi, <a href="/A016925/b016925.txt">Table of n, a(n) for n = 0..2000</a>
%H A016925 Marián Štofka, <a href="https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.569">Problem 11715</a>, The American Mathematical Monthly, Vol. 120, No. 6 (2013), p. 569; <a href="https://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.604">An Infinite Sum Introduces a Zeta</a>, Solution to Problem 11715 by Michael Hoffman, ibid., Vol. 122, No. 6 (2015), pp. 608-609.
%H A016925 Roberto Tauraso, <a href="https://www.mat.uniroma2.it/~tauraso/AMM/AMM11715.pdf">Problem 11715</a>.
%H A016925 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A016925 From _Amiram Eldar_, Mar 28 2022: (Start)
%F A016925 a(n) = A016921(n)^5.
%F A016925 Sum_{n>=0} 1/a(n) = ((1-1/2^5)*(1-1/3^5)*zeta(5) + 11*(Pi/3)^5/(8*sqrt(3)))/2 (Štofka, 2013). (End)
%t A016925 Table[(6*n + 1)^5, {n, 0, 40}] (* _Amiram Eldar_, Mar 28 2022 *)
%o A016925 (Magma) [(6*n+1)^5: n in [0..50]]; // _Vincenzo Librandi_, May 04 2011
%Y A016925 Cf. A016921, A016922, A016923, A016924, A016926.
%K A016925 nonn,easy
%O A016925 0,2
%A A016925 _N. J. A. Sloane_