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Search: id:A092239
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| A092239 |
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A061693 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. |
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| 0, 2, 9, 42, 225, 1260, 7497, 46176, 293382, 1908150, 12655269, 85287870, 582628683, 4026368514, 28104231825, 197884340160, 1404038987577, 10029929788566, 72086075552493, 520920674929650
(list; graph; listen)
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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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Thomas Ward, Exactly realizable sequences
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FORMULA
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If b(n) is the n-th term of A061693, then a(n)=(1/n)*Sum_{d|n}mu(d)a(n/d)
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EXAMPLE
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a(3)=9 since a(3)=(1/3)(b(3)-b(1)) where b is the sequence A061693, which starts 0,4,27.
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CROSSREFS
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Cf. A061693.
Sequence in context: A074611 A020038 A056845 this_sequence A132847 A121365 A018960
Adjacent sequences: A092236 A092237 A092238 this_sequence A092240 A092241 A092242
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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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