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.

A016985 a(n) = (7n)^5.

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%I A016985 #14 Sep 08 2022 08:44:41
%S A016985 0,16807,537824,4084101,17210368,52521875,130691232,282475249,
%T A016985 550731776,992436543,1680700000,2706784157,4182119424,6240321451,
%U A016985 9039207968,12762815625,17623416832,23863536599,31757969376,41615795893,53782400000,68641485507,86617093024
%N A016985 a(n) = (7n)^5.
%H A016985 Vincenzo Librandi, <a href="/A016985/b016985.txt">Table of n, a(n) for n = 0..1000</a>
%H A016985 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A016985 From _Wesley Ivan Hurt_, Aug 27 2015: (Start)
%F A016985 a(n) = (7n)^5 = 16807*n^5 = A000584(A008589(n)).
%F A016985 G.f.: 16807*(x+26*x^2+66*x^3+26*x^4+x^5)/(x-1)^6.
%F A016985 a(n) = 6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6), n>5. (End)
%p A016985 A016985:=n->(7*n)^5: seq(A016985(n), n=0..30); # _Wesley Ivan Hurt_, Aug 27 2015
%t A016985 (7Range[0,20])^5  (* _Harvey P. Dale_, Feb 13 2011 *)
%t A016985 CoefficientList[Series[16807 (x + 26 x^2 + 66 x^3 + 26 x^4 + x^5)/(x - 1)^6, {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Aug 27 2015 *)
%o A016985 (Magma) [(7*n)^5: n in [0..25]]; // _Vincenzo Librandi_, May 24 2011
%Y A016985 Cf. A000584, A008589.
%K A016985 nonn,easy
%O A016985 0,2
%A A016985 _N. J. A. Sloane_