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.
%I A125082 #20 Sep 08 2022 08:45:28 %S A125082 -1,-3,1,41,171,469,1037,2001,3511,5741,8889,13177,18851,26181,35461, %T A125082 47009,61167,78301,98801,123081,151579,184757,223101,267121,317351, %U A125082 374349,438697,511001,591891,682021,782069,892737,1014751,1148861,1295841,1456489,1631627,1822101,2028781,2252561,2494359 %N A125082 a(n) = n^4 - n^3 - n^2 - n - 1. %C A125082 For odd n > 1, a(n) * (n-1) / 2 represents the first integer in a sum of (2 * n^4) consecutive integers that equals n^9. - _Patrick J. McNab_, Dec 25 2016 %H A125082 Vincenzo Librandi, <a href="/A125082/b125082.txt">Table of n, a(n) for n = 0..660</a> %H A125082 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1). %F A125082 O.g.f.: -60/(-1+x)^3-66/(-1+x)^4-1/(-1+x)-24/(-1+x)^5-20/(-1+x)^2. - _R. J. Mathar_, Feb 26 2008 %F A125082 a(0)=-1, a(1)=-3, a(2)=1, a(3)=41, a(4)=171, a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - _Harvey P. Dale_, Dec 30 2011 %t A125082 Table[n^4 - n^3 - n^2 - n - 1, {n, 0, 41}] %t A125082 LinearRecurrence[{5,-10,10,-5,1},{-1,-3,1,41,171},40] (* _Harvey P. Dale_, Dec 30 2011 *) %o A125082 (Magma) [n^4-n^3-n^2-n-1: n in [0..60]]; // _Vincenzo Librandi_, Apr 26 2011 %o A125082 (PARI) a(n)=n^4-n^3-n^2-n-1 \\ _Charles R Greathouse IV_, Oct 07 2015 %Y A125082 Cf. A083074. %K A125082 sign,easy %O A125082 0,2 %A A125082 _Artur Jasinski_, Nov 19 2006