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
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
- 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.
Crossrefs
Cf. A059990.
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).
Extensions
More terms from Sean A. Irvine, Nov 23 2022