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 A115129 #7 Apr 24 2016 10:53:45
%S A115129 14,56,146,311,586,1015,1652,2562,3822,5522,7766,10673,14378,19033,
%T A115129 24808,31892,40494,50844,63194,77819,95018,115115,138460,165430,
%U A115129 196430,231894,272286,318101,369866,428141,493520,566632,648142,738752,839202
%N A115129 Partial sums of A005587. Fourth column of triangle A115127.
%H A115129 Harvey P. Dale, <a href="/A115129/b115129.txt">Table of n, a(n) for n = 0..1000</a>
%H A115129 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A115129 G.f.: (14 - 28*x + 20*x^2 - 5*x^3)/(1 - x)^6.
%F A115129 a(n)=A115127(n+4, 4), n>=1.
%F A115129 a(0)=14, a(1)=56, a(2)=146, a(3)=311, a(4)=586, a(5)=1015, a(n)= 6*a(n-1)- 15*a(n-2)+ 20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - _Harvey P. Dale_, Apr 24 2016
%t A115129 LinearRecurrence[{6,-15,20,-15,6,-1},{14,56,146,311,586,1015},40] (* or *) CoefficientList[Series[(14-28x+20x^2-5x^3)/(1-x)^6,{x,0,40}],x] (* _Harvey P. Dale_, Apr 24 2016 *)
%Y A115129 Cf. A024191 (third column of A115127).
%K A115129 nonn,easy
%O A115129 0,1
%A A115129 _Wolfdieter Lang_, Jan 13 2006