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%I #13 Feb 04 2016 08:13:51
%S 1,1,10,145,2755,64660,1804705,58336855,2141867440,87998832685,
%T 3998289746065,198991311832840,10762795518750121,628439018694857887,
%U 39390402253060922833,2637469071097179922603,187848412983167698626469,14178423030415044515701642
%N 10-level labeled rooted trees with n leaves.
%D J. Ginsburg, Iterated exponentials, Scripta Math., 11 (1945), 340-353.
%D T. Hogg and B. A. Huberman, Attractors on finite sets: the dissipative dynamics of computing structures, Phys. Review A 32 (1985), 2338-2346.
%H Alois P. Heinz, <a href="/A081697/b081697.txt">Table of n, a(n) for n = 0..360</a>
%F E.g.f. exp(exp(exp(exp(exp(exp(exp(exp(exp(exp(x)-1)-1)-1)-1)-1)-1)-1)-1)-1).
%o (PARI) a(n)=local(X); if(n<0,0,X=x+x*O(x^n); n!*
%o polcoeff(exp(exp(exp(exp(exp(exp(exp(exp(exp(exp(X)-1)-1)-1)-1)-1)-1)-1)-1)-1),n)).
%Y Cf. A000110, A000258, A000307, A000357, A001669.
%Y Column k=9 of A144150.
%K nonn
%O 0,3
%A _Benoit Cloitre_, Apr 23 2003
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