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