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A001765 Coefficients of iterated exponentials.
(Formerly M4447 N1882)
+0
7
1, 7, 77, 1155, 21973, 506989, 13761937, 429853851, 15192078027, 599551077881, 26140497946017, 1248134313062231, 64783855286002573, 3632510833677434324, 218845138322691595694, 14099918095287618382033 (list; graph; listen)
OFFSET

1,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

T. D. Noe, Table of n, a(n) for n=1..100

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 303

FORMULA

E.g.f.: -ln(1+ln(1+ln(1+ln(1+ln(1+ln(1+ln(1-x))))))).

CROSSREFS

Cf. A003713, A000268, A000310, A000359, A000406.

Sequence in context: A097983 A107866 A034176 this_sequence A093980 A077706 A080492

Adjacent sequences: A001762 A001763 A001764 this_sequence A001766 A001767 A001768

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 22 15:28 EST 2009. Contains 167310 sequences.


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