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A060477
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Number of orbits of length n in map whose periodic points are A048578.
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3
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3, 1, 2, 3, 6, 9, 18, 30, 56, 99, 186, 335, 630, 1161, 2182, 4080, 7710, 14532, 27594, 52377, 99858, 190557, 364722, 698870, 1342176, 2580795, 4971008, 9586395, 18512790, 35790267, 69273666, 134215680, 260300986
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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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Table of n, a(n) for n=1..33.
Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
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FORMULA
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If b(n) is the n-th term of A048578, then a(n)=(1/n)* Sum_{d|n}\mu(d)a(n/d)
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EXAMPLE
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a(3)=2 since the 3rd term of A048578 is 9 and the first term is 3.
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CROSSREFS
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A048578.
Cf. A001037, A059966 (both nearly identical to this sequence).
Cf. A093210.
Sequence in context: A078350 A078719 A087227 * A175945 A209859 A080890
Adjacent sequences: A060474 A060475 A060476 * A060478 A060479 A060480
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KEYWORD
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easy,nonn
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AUTHOR
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Thomas Ward (t.ward(AT)uea.ac.uk)
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STATUS
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approved
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