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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; text; 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.

Jekuthiel Ginsburg, Iterated exponentials, Scripta Math., 11 (1945), 340-353. [Annotated scanned copy]

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 302

FORMULA

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

MATHEMATICA

With[{nn=20}, CoefficientList[Series[-Log[1+Log[1+Log[1+Log[1+ Log[1+ Log[1- x]]]]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 03 2015 *)

CROSSREFS

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

Sequence in context: A152170 A087659 A107718 * A032119 A242817 A256016

Adjacent sequences:  A000403 A000404 A000405 * A000407 A000408 A000409

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 25 21:33 EDT 2017. Contains 292500 sequences.