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A060480 Number of orbits of length n in map whose periodic points come from A059990. 0
1, 0, 2, 1, 6, 0, 18, 10, 56, 31, 186, 37, 630, 381, 2182, 1360, 7710, 511, 27594, 17459, 99858, 63457, 364722, 77650, 1342176, 860055, 4971008, 3195465, 18512790, 3975719 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

V. Chothi, G. Everest, T. Ward. S-integer dynamical systems: periodic points. J. Reine Angew. Math., 489 (1997), 99-132.

T. Ward. Almost all S-integer dynamical systems have many periodic points. Erg. Th. Dynam. Sys. 18 (1998), 471-486.

LINKS

Table of n, a(n) for n=1..30.

A. Pakapongpun, T. Ward, Functorial Orbit counting, JIS 12 (2009) 09.2.4, example 27.

Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.

FORMULA

If b(n) is the n-th term of A059990, then a(n)=(1/n)* Sum_{ d divides n } mu(d)b(n/d)

CROSSREFS

Cf. A059990.

Sequence in context: A288052 A288505 A097407 * A208682 A094673 A196839

Adjacent sequences:  A060477 A060478 A060479 * A060481 A060482 A060483

KEYWORD

easy,nonn

AUTHOR

Thomas Ward (t.ward(AT)uea.ac.uk)

STATUS

approved

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Last modified April 3 00:26 EDT 2020. Contains 333194 sequences. (Running on oeis4.)