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Search: id:A060224
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| A060224 |
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Number of orbits of length n under the map whose periodic points are counted by A047863. |
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+0
1
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| 2, 2, 8, 39, 288, 3046, 47232, 1061100, 34385064, 1601137110, 106806380544, 10186152828755, 1386394018652160, 268976332493883474, 74301040560350828856, 29201332000320392849280
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OFFSET
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1,1
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REFERENCES
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Yash Puri and Thomas Ward, A dynamical property unique to the Lucas sequence, Fibonacci Quarterly, Volume 39, Number 5 (November 2001), pp. 398-402.
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LINKS
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Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
T. Ward, Exactly realizable sequences
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FORMULA
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If b(n) is the (n+1)-th term of A047863, then the n-th term is a(n) = (1/n)* Sum_{ d divides n }\mu(d)b(n/d)
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EXAMPLE
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a(5)=288 since the 6th term of A047863 is 1442 and the 2nd term is 2, so there must be (1442-2)/5 = 288 orbits of length 5.
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CROSSREFS
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Cf. A047863.
Sequence in context: A121197 A009543 A102647 this_sequence A111605 A009544 A077607
Adjacent sequences: A060221 A060222 A060223 this_sequence A060225 A060226 A060227
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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), Mar 21 2001
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