A060480 Number of orbits of length n in map whose periodic points come from A059990.

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, 69273666, 44738560, 260300986, 168426235, 981706806, 70698768, 3714566310, 2411195913

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..38.

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

Extensions

More terms from Sean A. Irvine, Nov 23 2022

Status

approved