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A091268
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A061685 appears to count the periodic points for a certain map. If so, then this is the sequence of the numbers of orbits of length n for that map.
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0
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1, 4, 99, 6272, 876725, 232419936, 105471170140, 76095730062464, 82555139387847312, 128928209221144677400, 279860608037771819829980, 820360089598849358326307904, 3169977309466844379463315722484
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history;
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OFFSET
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1,2
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REFERENCES
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Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, Extended Bell and Stirling Numbers From Hypergeometric Exponentiation, J. Integer Seqs. Vol. 4 (2001), #01.1.4.
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LINKS
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Table of n, a(n) for n=1..13.
Thomas Ward, Exactly realizable sequences
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FORMULA
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If b(n) is the (n+1)th term of A061685, then a(n)=(1/n)*Sum_{d|n}mu(d)b(n/d).
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EXAMPLE
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b(1)=1,b(2)=9,b(3)=298. Hence a(3)=(1/3)(b(3)-b(1))=99.
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CROSSREFS
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Cf. A061685.
Sequence in context: A024384 A180830 A224475 * A158082 A017090 A029995
Adjacent sequences: A091265 A091266 A091267 * A091269 A091270 A091271
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KEYWORD
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nonn
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AUTHOR
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Thomas Ward (t.ward(AT)uea.ac.uk), Feb 24 2004
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STATUS
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approved
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