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.

A244726 a(n) = 6*n^3.

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%I A244726 #20 Jun 15 2025 18:27:55
%S A244726 0,6,48,162,384,750,1296,2058,3072,4374,6000,7986,10368,13182,16464,
%T A244726 20250,24576,29478,34992,41154,48000,55566,63888,73002,82944,93750,
%U A244726 105456,118098,131712,146334,162000,178746,196608,215622,235824,257250,279936,303918
%N A244726 a(n) = 6*n^3.
%H A244726 Vincenzo Librandi, <a href="/A244726/b244726.txt">Table of n, a(n) for n = 0..1000</a>
%H A244726 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A244726 G.f.: 6*x*(1 + 4*x + x^2)/(1 - x)^4.
%F A244726 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3.
%t A244726 Table[6 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[6 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x]
%o A244726 (Magma) [6*n^3: n in [0..40]];
%o A244726 (Magma) I:=[0,6,48,162]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]];
%Y A244726 Cf. similar sequences listed in A244725.
%K A244726 nonn,easy
%O A244726 0,2
%A A244726 _Vincenzo Librandi_, Jul 05 2014