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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. - Vladimir Kruchinin, Sep 14 2010

CROSSREFS

a(n)=|A039815(n, 1)| (first column of triangle).

Cf. A003713, A000310, A000359, A000406, A001765.

Sequence in context: A251598 A247304 A001147 * A207818 A118750 A070826

Adjacent sequences:  A000265 A000266 A000267 * A000269 A000270 A000271

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane

EXTENSIONS

Revised description from Christian G. Bower, Aug 15 1998

STATUS

approved

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Last modified March 28 15:03 EDT 2015. Contains 255988 sequences.