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%I #7 Mar 30 2012 16:45:57
%S 1,5,16,41,92,190,372,703,1298,2361,4255,7628,13638,24357,43496,77704,
%T 138899,248450,444678,796314,1426644,2556825,4583600,8218728,14739136,
%U 26435727,47418602,85061737,152594941
%N Apply partial sum operator 4 times 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)^4 where B(x) is g.f. of A002572.
%Y Cf. A002572.
%K nonn
%O 1,2
%A _N. J. A. Sloane_.