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 A115130 #8 Feb 22 2024 19:48:23
%S A115130 42,174,471,1043,2044,3682,6230,10038,15546,23298,33957,48321,67340,
%T A115130 92134,124012,164492,215322,278502,356307,451311,566412,704858,870274,
%U A115130 1066690,1298570,1570842,1888929,2258781,2686908,3180414,3747032
%N A115130 Partial sums of A005557.
%H A115130 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A115130 G.f.: (42-120*x+135*x^2-70*x^3+14*x^4)/(1-x)^7.
%F A115130 a(n)=A115127(n+5, 5), n>=1.
%t A115130 Accumulate[LinearRecurrence[{6,-15,20,-15,6,-1},{42,132,297,572,1001,1638},40]] (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{42,174,471,1043,2044,3682,6230},40] (* _Harvey P. Dale_, Feb 22 2024 *)
%Y A115130 Cf. A115129 (fourth column of A115127).
%K A115130 nonn,easy
%O A115130 0,1
%A A115130 _Wolfdieter Lang_, Jan 13 2006