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 A004255 M2794 #34 May 27 2023 18:58:33 %S A004255 1,3,9,25,60,126,238,414,675,1045,1551,2223,3094,4200,5580,7276,9333, %T A004255 11799,14725,18165,22176,26818,32154,38250,45175,53001,61803,71659, %U A004255 82650,94860,108376,123288,139689,157675,177345,198801,222148,247494,274950 %N A004255 n(n+1)(n^2 -3n + 6)/8. %D A004255 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A004255 Vincenzo Librandi, <a href="/A004255/b004255.txt">Table of n, a(n) for n = 1..1000</a> %H A004255 Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009. %H A004255 Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992 %H A004255 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A004255 G.f.: -x*(1-2*x+4*x^2) / (x-1)^5. - _Simon Plouffe_ in his 1992 dissertation. %t A004255 lst={};Do[AppendTo[lst, n*(n+1)*(n^2-3*n+6)/8], {n, 0, 5!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Sep 19 2008 *) %t A004255 Table[n(n+1)(n^2-3n+6)/8,{n,40}] (* or *) LinearRecurrence[{5,-10,10,-5,1},{1,3,9,25,60},40] (* _Harvey P. Dale_, May 27 2023 *) %o A004255 (Magma) [n*(n+1)*(n^2-3*n+6)/8: n in [1..50]]; // _Vincenzo Librandi_, Jun 07 2013 %o A004255 (PARI) a(n)=n*(n+1)*(n^2-3*n+6)/8 \\ _Charles R Greathouse IV_, Oct 07 2015 %Y A004255 Partial sums of A060354. Equals (1/2) A062026. %K A004255 nonn,easy %O A004255 1,2 %A A004255 Dennis S. Kluk (mathemagician(AT)ameritech.net)