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 A162267 #17 Aug 31 2018 02:56:49 %S A162267 6,23,57,114,200,321,483,692,954,1275,1661,2118,2652,3269,3975,4776, %T A162267 5678,6687,7809,9050,10416,11913,13547,15324,17250,19331,21573,23982, %U A162267 26564,29325,32271,35408,38742,42279,46025,49986,54168,58577,63219 %N A162267 a(n) = (2*n^3 + 5*n^2 + 5*n)/2. %H A162267 Vincenzo Librandi, <a href="/A162267/b162267.txt">Table of n, a(n) for n = 1..1000</a> %H A162267 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A162267 Row sums from A155705: a(n) = Sum_{m=1..n} (2*m*n + m + n + 2). %F A162267 From _Vincenzo Librandi_, Mar 05 2012: (Start) %F A162267 G.f.: x*(6 - x + x^2)/(1-x)^4. %F A162267 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). (End) %t A162267 LinearRecurrence[{4, -6, 4, -1}, {6, 23, 57, 114}, 50] (* or *) CoefficientList[Series[(6-x+x^2)/(1-x)^4,{x,0,40}],x] (* _Vincenzo Librandi_, Mar 05 2012 *) %Y A162267 Cf. A155705. %K A162267 nonn,easy %O A162267 1,1 %A A162267 _Vincenzo Librandi_, Jun 29 2009 %E A162267 New name from _Vincenzo Librandi_, Mar 05 2012