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.

A016851 a(n) = (5*n)^3.

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%I A016851 #21 Sep 08 2022 08:44:41
%S A016851 0,125,1000,3375,8000,15625,27000,42875,64000,91125,125000,166375,
%T A016851 216000,274625,343000,421875,512000,614125,729000,857375,1000000,
%U A016851 1157625,1331000,1520875,1728000,1953125,2197000,2460375,2744000,3048625,3375000,3723875,4096000
%N A016851 a(n) = (5*n)^3.
%H A016851 Vincenzo Librandi, <a href="/A016851/b016851.txt">Table of n, a(n) for n = 0..1000</a>
%H A016851 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F A016851 a(0)=0, a(1)=125, a(2)=1000, a(3)=3375, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - _Harvey P. Dale_, Jun 18 2011
%F A016851 G.f.: (125*(x+4*x^2+x^3))/(x-1)^4. - _Harvey P. Dale_, Jun 18 2011
%F A016851 a(n) = 125*A000578(n). - _Michel Marcus_, Feb 14 2014
%t A016851 (5Range[0,30])^3 (* or *) LinearRecurrence[{4,-6,4,-1},{0,125,1000,3375}, 30] (* _Harvey P. Dale_, Jun 18 2011 *)
%o A016851 (PARI) a(n) = 125*n^3; \\ _Michel Marcus_, Feb 14 2014
%o A016851 (Magma) [(5*n)^3: n in [0..40]]; // _Vincenzo Librandi_, Feb 14 2014
%Y A016851 Cf. A000578.
%K A016851 nonn,easy
%O A016851 0,2
%A A016851 _N. J. A. Sloane_
%E A016851 More terms from _Michel Marcus_, Feb 14 2014