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A081740 11-level labeled rooted trees with n leaves. 3
1, 1, 11, 176, 3696, 95986, 2967041, 106296586, 4328071506, 197304236151, 9951699489061, 550054365477936, 33053174868315877, 2144972900520659506, 149472637758381213628, 11130201727845695463914, 881841184375010602801553, 74061565980075915066583527 (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(exp(x)-1)-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(exp(X)-1)-1)-1)-1)-1)-1)-1)-1)-1)-1), n))

CROSSREFS

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

Column k=10 of A144150.

Sequence in context: A003729 A230388 A027398 * A051687 A231916 A101791

Adjacent sequences:  A081737 A081738 A081739 * A081741 A081742 A081743

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Apr 23 2003

STATUS

approved

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Last modified December 5 11:29 EST 2016. Contains 278764 sequences.