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A081624
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Number of 8-level labeled rooted trees with n leaves.
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5
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1, 1, 8, 92, 1380, 25488, 558426, 14140722, 406005804, 13024655442, 461451524934, 17886290630832, 752602671853068, 34152212772528222, 1662095923363838817, 86335146917372644026, 4766427291743224251474, 278658370977555551901990
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OFFSET
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0,3
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REFERENCES
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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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LINKS
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FORMULA
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E.g.f.: exp(exp(exp(exp(exp(exp(exp(exp(x)-1)-1)-1)-1)-1)-1)-1).
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PROG
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(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
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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