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A000310 Coefficients of iterated exponentials.
(Formerly M3612 N1464)
8
1, 4, 26, 234, 2696, 37919, 630521, 12111114, 264051201, 6445170229, 174183891471, 5164718385337, 166737090160871, 5822980248613990, 218756388226681557, 8797723991458469015, 377159237609540937788 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

J. Ginsburg, Iterated exponentials, Scripta Math., 11 (1945), 340-353.

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

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

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 300

FORMULA

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

CROSSREFS

a(n)=|A039816(n, 1)| (first column of triangle). Cf. A003713, A000268, A000359, A000406, A001765.

Sequence in context: A107879 A066224 A136227 * A054360 A124824 A000311

Adjacent sequences:  A000307 A000308 A000309 * A000311 A000312 A000313

KEYWORD

nonn

AUTHOR

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

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.