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.

A135497 a(n) = n^5 - n^2.

This page as a plain text file.
%I A135497 #20 Sep 08 2022 08:45:32
%S A135497 0,0,28,234,1008,3100,7740,16758,32704,58968,99900,160930,248688,
%T A135497 371124,537628,759150,1048320,1419568,1889244,2475738,3199600,4083660,
%U A135497 5153148,6435814,7962048,9765000,11880700,14348178,17209584,20510308,24299100,28628190
%N A135497 a(n) = n^5 - n^2.
%H A135497 G. C. Greubel, <a href="/A135497/b135497.txt">Table of n, a(n) for n = 0..1000</a>
%H A135497 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F A135497 a(n) = floor(n^8/(n^3+1)). - _Gary Detlefs_, Feb 11 2010
%F A135497 G.f.: 2*x^2*(14 +33*x +12*x^2 +x^3)/(1-x)^6. - _Colin Barker_, Feb 01 2012
%p A135497 seq(floor(n^8/(n^3+1)),n=0..25); # _Gary Detlefs_, Feb 11 2010
%t A135497 Table[n^5 - n^2, {n, 0, 40}] (* and *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 0, 28, 234, 1008, 3100}, 40] (* _Vladimir Joseph Stephan Orlovsky_, Feb 20 2012 *)
%o A135497 (Magma) [n^5 - n^2: n in [0..50]]; // _Vincenzo Librandi_, Mar 31 2011
%K A135497 nonn,easy
%O A135497 0,3
%A A135497 _Rolf Pleisch_, Mar 16 2008
%E A135497 More terms from _Vincenzo Librandi_, Mar 31 2011