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.
%I A016863 #23 Feb 16 2025 08:32:33
%S A016863 1,216,1331,4096,9261,17576,29791,46656,68921,97336,132651,175616,
%T A016863 226981,287496,357911,438976,531441,636056,753571,884736,1030301,
%U A016863 1191016,1367631,1560896,1771561,2000376,2248091,2515456,2803221,3112136,3442951,3796416,4173281,4574296
%N A016863 a(n) = (5*n + 1)^3.
%H A016863 Amiram Eldar, <a href="/A016863/b016863.txt">Table of n, a(n) for n = 0..10000</a>
%H A016863 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/PolygammaFunction.html">Polygamma Function</a>.
%H A016863 Wikipedia, <a href="http://en.wikipedia.org/wiki/Polygamma_function">Polygamma Function</a>.
%H A016863 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A016863 Sum_{n>=0} 1/a(n) = -polygamma(2, 1/5)/250. - _Amiram Eldar_, Oct 02 2020
%F A016863 From _Wesley Ivan Hurt_, Oct 02 2020: (Start)
%F A016863 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
%F A016863 G.f.: (1+212*x+473*x^2+64*x^3)/(-1+x)^4. (End)
%F A016863 From _Stefano Spezia_, Nov 01 2024: (Start)
%F A016863 a(n) = A000578(A016861(n)).
%F A016863 E.g.f.: exp(x)*(1 + 215*x + 450*x^2 + 125*x^3). (End)
%e A016863 a(0) = (5*0 + 1)^3 = 1.
%t A016863 Table[(5*n + 1)^3, {n, 0, 25}] (* _Amiram Eldar_, Oct 02 2020 *)
%Y A016863 Cf. A000578, A016861, A016862, A016864.
%K A016863 nonn,easy
%O A016863 0,2
%A A016863 _N. J. A. Sloane_