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Search: id:A000359
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| A000359 |
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Coefficients of iterated exponentials.
(Formerly M3991 N1654)
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+0
9
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| 1, 5, 40, 440, 6170, 105315, 2120610, 49242470, 1296133195, 38152216495, 1242274374380, 44345089721923, 1722416374173854, 72330102999829054, 3265871028909088036, 157797437377747327987, 8124524883679977475839
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
J. Ginsburg, Iterated exponentials, Scripta Math., 11 (1945), 340-353.
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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 301
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FORMULA
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E.g.f.: -ln(1+ln(1+ln(1+ln(1+ln(1-x))))).
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CROSSREFS
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a(n)=|A039817(n, 1)| (first column of triangle). Cf. A003713, A000268, A000310, A000406, A001765.
Sequence in context: A143437 A083304 A034000 this_sequence A121886 A052868 A094574
Adjacent sequences: A000356 A000357 A000358 this_sequence A000360 A000361 A000362
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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