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A081624
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Number of 8-level labeled rooted trees with n leaves.
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4
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1, 1, 8, 92, 1380, 25488, 558426, 14140722, 406005804, 13024655442, 461451524934, 17886290630832, 752602671853068, 34152212772528222, 1662095923363838817, 86335146917372644026, 4766427291743224251474, 278658370977555551901990
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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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.
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FORMULA
| E.g.f. exp(exp(exp(exp(exp(exp(exp(exp(X)-1)-1)-1)-1)-1)-1)-1)
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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(X)-1)-1)-1)-1)-1)-1)-1), n))
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CROSSREFS
| Cf. A000110, A000258, A000307, A000357, A001669.
Sequence in context: A194042 A027395 A113353 * A184142 A137159 A099291
Adjacent sequences: A081621 A081622 A081623 * A081625 A081626 A081627
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 23 2003
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