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Search: id:A091315
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| A091315 |
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A061684 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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1
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| 1, 2, 21, 402, 13805, 761154, 62523664, 7237970648, 1132600004910, 231900134422880, 60528794385067778, 19713593779259862624, 7869483395065035685162, 3792402572391137423764584
(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+1)th term in A061684, then a(n)=(1/n)*Sum_{d|n}mu(d)b(n/d)
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EXAMPLE
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The sequence A061684 begins 1,1,5,64,1613, so a(3)=(b(3)-b(1))/3=21.
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CROSSREFS
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Cf. A061684.
Sequence in context: A094797 A099710 A098344 this_sequence A087546 A090729 A090310
Adjacent sequences: A091312 A091313 A091314 this_sequence A091316 A091317 A091318
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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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