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

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Last modified May 18 15:15 EDT 2024. Contains 372662 sequences. (Running on oeis4.)