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A032170
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"CHK" (necklace, identity, unlabeled) transform of 1,2,3,4...
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4
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1, 2, 5, 10, 24, 50, 120, 270, 640, 1500, 3600, 8610, 20880, 50700, 124024, 304290, 750120, 1854400, 4600200, 11440548, 28527320, 71289000, 178526880, 447910470, 1125750120, 2833885800, 7144449920, 18036373140
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Apparently, for n>2, the same as A072337. - R. Stephan, Feb 01 2004
a(n) is the number of prime period-n periodic orbits of Arnold's cat map. [From Bruce Boghosian (bruce.boghosian(AT)tufts.edu), Apr 26 2009]
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LINKS
| Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
Index entries for sequences related to Lyndon words
C. G. Bower, Transforms (2)
Wikipedia entry on Arnold's cat map [From Bruce Boghosian (bruce.boghosian(AT)tufts.edu), Apr 26 2009]
Wolfram MathWorld entry on Arnold's cat map [From Bruce Boghosian (bruce.boghosian(AT)tufts.edu), Apr 26 2009]
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FORMULA
| 1/n*Sum_{d divides n} mu(n/d)*A004146(d). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 15 2003
Inverse EULER transform of Fibonacci(2*n). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 04 2006
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CROSSREFS
| Cf. A032198.
Sequence in context: A112855 A049937 A026754 * A084081 A106376 A151514
Adjacent sequences: A032167 A032168 A032169 * A032171 A032172 A032173
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net)
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