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A081697 10-level labeled rooted trees with n leaves. 3
1, 1, 10, 145, 2755, 64660, 1804705, 58336855, 2141867440, 87998832685, 3998289746065, 198991311832840, 10762795518750121, 628439018694857887, 39390402253060922833, 2637469071097179922603, 187848412983167698626469, 14178423030415044515701642 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

J. Ginsburg, Iterated exponentials, Scripta Math., 11 (1945), 340-353.

T. Hogg and B. A. Huberman, Attractors on finite sets: the dissipative dynamics of computing structures, Phys. Review A 32 (1985), 2338-2346.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..360

FORMULA

E.g.f. exp(exp(exp(exp(exp(exp(exp(exp(exp(exp(x)-1)-1)-1)-1)-1)-1)-1)-1)-1).

PROG

(PARI) a(n)=local(X); if(n<0, 0, X=x+x*O(x^n);  n!*

polcoeff(exp(exp(exp(exp(exp(exp(exp(exp(exp(exp(X)-1)-1)-1)-1)-1)-1)-1)-1)-1), n)).

CROSSREFS

Cf. A000110, A000258, A000307, A000357, A001669.

Column k=9 of A144150.

Sequence in context: A113354 A027397 A305969 * A134526 A297714 A055761

Adjacent sequences:  A081694 A081695 A081696 * A081698 A081699 A081700

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Apr 23 2003

STATUS

approved

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Last modified September 24 14:46 EDT 2021. Contains 347643 sequences. (Running on oeis4.)