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.

A016971 a(n) = (6*n + 5)^3.

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%I A016971 #23 Sep 08 2022 08:44:41
%S A016971 125,1331,4913,12167,24389,42875,68921,103823,148877,205379,274625,
%T A016971 357911,456533,571787,704969,857375,1030301,1225043,1442897,1685159,
%U A016971 1953125,2248091,2571353,2924207,3307949
%N A016971 a(n) = (6*n + 5)^3.
%H A016971 Vincenzo Librandi, <a href="/A016971/b016971.txt">Table of n, a(n) for n = 0..1000</a>
%H A016971 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A016971 Sum_{n>=0} 1/a(n) = -Pi^3/(36*sqrt(3)) + 91*zeta(3)/216. - _Amiram Eldar_, Oct 02 2020
%F A016971 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - _Wesley Ivan Hurt_, Oct 02 2020
%F A016971 a(n) = (125+831*x+339*x^2+x^3)/(-1+x)^4. - _Wesley Ivan Hurt_, Oct 02 2020
%e A016971 a(0) = (6*0 + 5)^3 = 5^3 = 125.
%t A016971 Table[(6*n + 5)^3, {n, 0, 25}] (* _Amiram Eldar_, Oct 02 2020 *)
%o A016971 (Magma) [(6*n+5)^3: n in [0..40]]; // _Vincenzo Librandi_, May 07 2011
%Y A016971 Cf. A002117, A016911, A016923, A016935, A016947, A016959.
%K A016971 nonn,easy
%O A016971 0,1
%A A016971 _N. J. A. Sloane_