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A000268
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E.g.f.: -ln(1+ln(1+ln(1-x))).
(Formerly M3003 N1218)
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8
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1, 3, 15, 105, 947, 10472, 137337, 2085605, 36017472, 697407850, 14969626900, 352877606716, 9064191508018, 252024567201300, 7542036496650006, 241721880399970938, 8261159383595659128, 299916384730043070880
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OFFSET
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1,2
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REFERENCES
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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).
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LINKS
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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
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FORMULA
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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]
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CROSSREFS
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a(n)=|A039815(n, 1)| (first column of triangle). Cf. A003713, A000310, A000359, A000406, A001765.
Sequence in context: A015682 A189919 A001147 * A207818 A118750 A070826
Adjacent sequences: A000265 A000266 A000267 * A000269 A000270 A000271
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Revised description from Christian G. Bower, Aug 15 1998.
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STATUS
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approved
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