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A000268 E.g.f.: -log(1+log(1+log(1-x))).
(Formerly M3003 N1218)
8
1, 3, 15, 105, 947, 10472, 137337, 2085605, 36017472, 697407850, 14969626900, 352877606716, 9064191508018, 252024567201300, 7542036496650006, 241721880399970938, 8261159383595659128, 299916384730043070880 (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.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 299

Kruchinin Vladimir Victorovich, Composition of ordinary generating functions, arXiv:1009.2565

FORMULA

a(n)=sum((m-1)!*(-1)^(n+m)*sum(stirling1(n,k)*stirling1(k,m),k,m,n),m,1,n), n>0. [From Vladimir Kruchinin, Sep 14 2010]

CROSSREFS

a(n)=|A039815(n, 1)| (first column of triangle). Cf. A003713, A000310, A000359, A000406, A001765.

Sequence in context: A189919 A247304 A001147 * A207818 A118750 A070826

Adjacent sequences:  A000265 A000266 A000267 * A000269 A000270 A000271

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Revised description from Christian G. Bower, Aug 15 1998.

STATUS

approved

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Last modified November 28 04:44 EST 2014. Contains 250286 sequences.