%I #7 Mar 30 2012 16:45:57
%S 1,4,11,25,51,98,182,331,595,1063,1894,3373,6010,10719,19139,34208,
%T 61195,109551,196228,351636,630330,1130181,2026775,3635128,6520408,
%U 11696591,20982875,37643135,67533204
%N Apply partial sum operator thrice to binary rooted tree numbers.
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F G.f.: (B(x)-x)/x(1-x)^3 where B(x) is g.f. of A002572.
%Y Cf. A002572.
%K nonn
%O 1,2
%A _N. J. A. Sloane_.