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.

A017573 a(n) = (12n+4)^5.

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%I A017573 #23 Dec 30 2024 22:44:38
%S A017573 1024,1048576,17210368,102400000,380204032,1073741824,2535525376,
%T A017573 5277319168,10000000000,17623416832,29316250624,46525874176,
%U A017573 71008211968,104857600000,150536645632,210906087424,289254654976,389328928768,515363200000,672109330432,864866612224
%N A017573 a(n) = (12n+4)^5.
%H A017573 Vincenzo Librandi, <a href="/A017573/b017573.txt">Table of n, a(n) for n = 0..200</a>
%H A017573 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A017573 a(n) = (12n + 4)^5 = 1024(3n + 1)^5 = A000584(A017569(n)). - _Wesley Ivan Hurt_, Feb 25 2014
%F A017573 Sum_{n>=0} 1/a(n) = Pi^5/(373248*sqrt(3)) + 121*zeta(5)/248832. - _Amiram Eldar_, Jul 14 2024
%p A017573 A017573:=n->(12*n + 4)^5; seq(A017573(n), n=0..20); # _Wesley Ivan Hurt_, Feb 25 2014
%t A017573 Table[(12 n + 4)^5, {n, 0, 20}] (* _Wesley Ivan Hurt_, Feb 25 2014 *)
%t A017573 (12*Range[0,20]+4)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1024,1048576,17210368,102400000,380204032,1073741824},20] (* _Harvey P. Dale_, Apr 24 2017 *)
%o A017573 (Magma) [(12*n+4)^5: n in [0..20]]; // _Vincenzo Librandi_, Feb 27 2014
%Y A017573 Cf. A000584, A013663, A017569.
%K A017573 nonn,easy
%O A017573 0,1
%A A017573 _N. J. A. Sloane_