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 A030441 #23 Jun 17 2017 02:59:15 %S A030441 -4,-1,2,13,40,91,174,297,468,695,986,1349,1792,2323,2950,3681,4524, %T A030441 5487,6578,7805,9176,10699,12382,14233,16260,18471,20874,23477,26288, %U A030441 29315,32566,36049,39772,43743,47970,52461,57224,62267,67598,73225,79156,85399 %N A030441 Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n - 3)*(2*n^2 - 3*n + 4). %H A030441 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A030441 a(n) - A177342(n-1) = (n-1)^2, with n>1. For n=6, a(6) - A177342(5) = 174 - 149 = 5^2. - _Bruno Berselli_, May 23 2010 %F A030441 a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - _Colin Barker_, May 18 2014 %F A030441 G.f.: (15*x^3-18*x^2+15*x-4) / (x-1)^4. - _Colin Barker_, May 18 2014 %F A030441 a(n) = A059259(2*n,3), n>1. - _Mathew Englander_, May 17 2014 %t A030441 LinearRecurrence[{4,-6,4,-1},{-4,-1,2,13},50] (* _Harvey P. Dale_, Apr 20 2015 *) %o A030441 (PARI) a(n) = (1/3)*(2*n-3)*(2*n^2-3*n+4); \\ _Michel Marcus_, May 18 2014 %Y A030441 Equals A030434 shifted left twice. %K A030441 sign,easy %O A030441 0,1 %A A030441 Ilias.Kotsireas(AT)lip6.fr (Ilias Kotsireas)