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A000406 Coefficients of iterated exponentials.
(Formerly M4264 N1782)
7
1, 6, 57, 741, 12244, 245755, 5809875, 158198200, 4877852505, 168055077875, 6400217406500, 267058149580823, 12118701719205803, 594291742526530761, 31323687504696772151, 1766116437541895988303, 106080070002238888908150 (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 302

FORMULA

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

CROSSREFS

Cf. A003713, A000268, A000310, A000359, A001765.

Sequence in context: A152170 A087659 A107718 * A032119 A145170 A180255

Adjacent sequences:  A000403 A000404 A000405 * A000407 A000408 A000409

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 20:50 EST 2012. Contains 206085 sequences.