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 A132122 #18 Mar 04 2025 13:08:01
%S A132122 0,3,33,164,550,1455,3283,6608,12204,21075,34485,53988,81458,119119,
%T A132122 169575,235840,321368,430083,566409,735300,942270,1193423,1495483,
%U A132122 1855824,2282500,2784275,3370653,4051908,4839114,5744175,6779855
%N A132122 a(n) = n * (n+1)^2 * (3*n^2 + 4*n + 2) / 12.
%H A132122 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A132122 G.f.: x*(3 + 15*x + 11*x^2 + x^3)/(1-x)^6. - _Emeric Deutsch_, Aug 19 2007
%p A132122 seq((1/12)*n*(n+1)^2*(3*n^2+4*n+2),n=0..32); # _Emeric Deutsch_, Aug 19 2007
%t A132122 LinearRecurrence[{6,-15,20,-15,6,-1},{0, 3, 33, 164, 550, 1455},31] (* _James C. McMahon_, Mar 04 2025 *)
%Y A132122 Row sums of triangle A132121.
%K A132122 nonn,easy
%O A132122 0,2
%A A132122 _Reinhard Zumkeller_, Aug 12 2007