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Search: id:A081629
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| A081629 |
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Number of 9-level labeled rooted trees with n leaves. |
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+0
5
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| 1, 1, 9, 117, 1989, 41709, 1038975, 29947185, 979687005, 35839643175, 1449091813035, 64144495494825, 3084209792570721, 160023238477245789, 8909102551102555002, 529651263967161225648, 33482356679629151295651
(list; graph; listen)
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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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FORMULA
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E.g.f. exp(exp(exp(exp(exp(exp(exp(exp(exp(X)-1)-1)-1)-1)-1)-1)-1)-1)
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PROGRAM
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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(exp(X)-1)-1)-1)-1)-1)-1)-1)-1), n))
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CROSSREFS
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Cf. A000110, A000258, A000307, A000357, A001669.
Adjacent sequences: A081626 A081627 A081628 this_sequence A081630 A081631 A081632
Sequence in context: A059967 A027396 A113344 this_sequence A051617 A087984 A130652
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 23 2003
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