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.

A017571 a(n) = (12n+4)^3.

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%I A017571 #18 Dec 30 2024 22:44:32
%S A017571 64,4096,21952,64000,140608,262144,438976,681472,1000000,1404928,
%T A017571 1906624,2515456,3241792,4096000,5088448,6229504,7529536,8998912,
%U A017571 10648000,12487168,14526784,16777216,19248832,21952000,24897088,28094464,31554496,35287552,39304000,43614208
%N A017571 a(n) = (12n+4)^3.
%H A017571 Harvey P. Dale, <a href="/A017571/b017571.txt">Table of n, a(n) for n = 0..1000</a>
%H A017571 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A017571 From _Amiram Eldar_, Jul 14 2024: (Start)
%F A017571 a(n) = A000578(A017569(n)) = A017569(n)^3.
%F A017571 a(n) = 64 * A016779(n).
%F A017571 Sum_{n>=0} 1/a(n) = Pi^3/(2592*sqrt(3)) + 13*zeta(3)/1728. (End)
%t A017571 a[n_] := (12*n+4)^3; Array[a, 30, 0] (* _Amiram Eldar_, Jul 14 2024 *)
%t A017571 LinearRecurrence[{4,-6,4,-1},{64,4096,21952,64000},30] (* _Harvey P. Dale_, Sep 06 2024 *)
%Y A017571 Cf. A000578, A002117, A016779, A017569.
%K A017571 nonn,easy
%O A017571 0,1
%A A017571 _N. J. A. Sloane_
%E A017571 More terms from _Amiram Eldar_, Jul 14 2024