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A001669 Number of 7-level labeled rooted trees with n leaves.
(Formerly M4443 N1879)
+0
12
1, 1, 7, 70, 910, 14532, 274778, 5995892, 148154860, 4085619622, 124304629050, 4133867297490, 149114120602860, 5796433459664946, 241482353893283349, 10730629952953517859, 506500241174366575122, 25302666611855946733140 (list; graph; listen)
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

P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 296

Index entries for sequences related to rooted trees

FORMULA

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

CROSSREFS

Cf. A000110, A000258, A000307, A000357, A000405.

Sequence in context: A113343 A124566 A141151 this_sequence A051604 A097630 A090647

Adjacent sequences: A001666 A001667 A001668 this_sequence A001670 A001671 A001672

KEYWORD

nonn,easy

AUTHOR

njas

EXTENSIONS

Extended with new definition by Christian G. Bower (bowerc(AT)usa.net), Aug 15 1998.

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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