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 A115133 #5 Sep 03 2015 12:42:26
%S A115133 429,1859,5291,12363,25623,48879,87639,149655,245586,389796,601304,
%T A115133 904904,1332474,1924494,2731794,3817554,5259579,7152873,9612537,
%U A115133 12777017,16811729,21913089,28312977,36283665,46143240,58261554
%N A115133 Partial sums of A064061.
%H A115133 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
%F A115133 G.f.:(429-2002*x+4004*x^2-4368*x^3+2730*x^4-924*x^5+132*x^6)/(1-x)^9.
%F A115133 a(n)=A115127(n+7, 7), n>=1, a(0):=C(7)=429, with C(n):=A000108(n) (Catalan).
%t A115133 Accumulate[Table[Binomial[n,7]-Binomial[n,5],{n,13,50}]] (* or *) LinearRecurrence[ {9,-36,84,-126,126,-84,36,-9,1},{429,1859,5291,12363,25623,48879,87639,149655,245586},40] (* _Harvey P. Dale_, Sep 03 2015 *)
%Y A115133 Cf. A114426 (sixth column of A115127).
%K A115133 nonn,easy
%O A115133 0,1
%A A115133 _Wolfdieter Lang_, Jan 13 2006