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.

A016983 a(n) = (7*n)^3.

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%I A016983 #27 Jul 08 2025 06:00:49
%S A016983 0,343,2744,9261,21952,42875,74088,117649,175616,250047,343000,456533,
%T A016983 592704,753571,941192,1157625,1404928,1685159,2000376,2352637,2744000,
%U A016983 3176523,3652264,4173281,4741632,5359375,6028568,6751269,7529536,8365427,9261000,10218313
%N A016983 a(n) = (7*n)^3.
%H A016983 Vincenzo Librandi, <a href="/A016983/b016983.txt">Table of n, a(n) for n = 0..1000</a>
%H A016983 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A016983 G.f.: 343*x*(1 + 4*x + x^2)/(1 - x)^4. - _Vincenzo Librandi_, Jul 05 2014
%F A016983 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3. - _Vincenzo Librandi_, Jul 05 2014
%t A016983 Table[343 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[343 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* _Vincenzo Librandi_, Jul 05 2014 *)
%o A016983 (Magma) [(7*n)^3: n in [0..40]]; // _Vincenzo Librandi_, May 22 2011
%Y A016983 Cf. similar sequences listed in A244725.
%K A016983 nonn,easy
%O A016983 0,2
%A A016983 _N. J. A. Sloane_