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 A168122 #12 Jul 31 2015 22:46:22
%S A168122 0,1,34,369,2056,7825,23346,58849,131104,265761,500050,885841,1493064,
%T A168122 2413489,3764866,5695425,8388736,12068929,17006274,23523121,32000200,
%U A168122 42883281,56690194,74018209,95551776,122070625,154458226,193710609
%N A168122 n^2*(n^4+1)/2.
%H A168122 Vincenzo Librandi, <a href="/A168122/b168122.txt">Table of n, a(n) for n = 0..1000</a>
%H A168122 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F A168122 a(0)=0, a(1)=1, a(2)=34, a(3)=369, a(4)=2056, a(5)=7825, a(6)=23346; for n>6, a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). - _Harvey P. Dale_, Apr 21 2014
%F A168122 G.f.: x*(1 + x)*(1 + 26*x + 126*x^2 + 26*x^3 + x^4)/(1-x)^7. - _Vincenzo Librandi_, Apr 23 2014
%t A168122 Table[n^2 (n^4+1)/2, {n, 0, 30}] (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {0, 1, 34, 369, 2056, 7825, 23346}, 30] (* _Harvey P. Dale_, Apr 21 2014 *)
%t A168122 CoefficientList[Series[x (1 + x) (1 + 26 x + 126 x^2 + 26 x^3 + x^4)/(1 - x)^7, {x, 0, 40}], x] (* _Vincenzo Librandi_, Apr 23 2014 *)
%K A168122 nonn
%O A168122 0,3
%A A168122 _N. J. A. Sloane_, Dec 11 2009