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 A098125 #11 Aug 17 2019 01:17:33
%S A098125 0,1,1,4,8,17,38,83,174,367,771,1606,3324,6849,14054,28743,58605,
%T A098125 119161,241717,489345,988945,1995604,4021710,8095815,16281400,
%U A098125 32716231,65694106,131833462,264423116,530128036,1062424867,2128513095
%N A098125 Number of compositions of n where the largest part is less than the number of parts.
%F A098125 G.f.: Sum_{k>=0} ((x^k-x)/(x-1))^k.
%e A098125 a(5)=8 because we have 1112, 1121, 1211, 2111, 122, 212, 221 and 11111.
%p A098125 G:=sum(((x^k-x)/(x-1))^k,k=0..45): Gser:=series(G,x=0,40): seq(coeff(Gser,x^n),n=1..36); # _Emeric Deutsch_, Apr 16 2005
%Y A098125 Cf. A077229, A047993, A064173, A064174.
%K A098125 easy,nonn
%O A098125 1,4
%A A098125 _Vladeta Jovovic_, Sep 25 2004
%E A098125 More terms from _Emeric Deutsch_, Apr 16 2005