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 A124344 #9 Jul 08 2014 12:39:31 %S A124344 1,1,2,4,10,25,68,187,530,1523,4447,13121,39107,117490,355507,1082234, %T A124344 3312255,10185125,31450633,97480337,303157086,945671951,2958113722, %U A124344 9276528602,29158191215,91845796986,289874628176,916536727561 %N A124344 Number of ordered rooted trees on n nodes with thinning limbs. %C A124344 A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children. %H A124344 Alois P. Heinz, <a href="/A124344/b124344.txt">Table of n, a(n) for n = 1..150</a> %F A124344 G.f.: A(x) = A0(x)+A1(x)+A2(x)+... where A0(x)=x, An(x) = x*(A0(x)+A1(x)+...+An(x))^n. %Y A124344 Cf. A000108, A124343-A124348. %Y A124344 Row sums of A124328. %K A124344 nonn %O A124344 1,3 %A A124344 _Christian G. Bower_, Oct 30 2006, suggested by _Franklin T. Adams-Watters_