Solved: In a journal article [F. J. Dyson and H. Falk, Period of a Discrete Cat Mapping
Chapter 10, Problem 1(choose chapter or problem)
In a journal article [F. J. Dyson and H. Falk, Period of a Discrete Cat Mapping, The American Mathematical Monthly, 99 (AugustSeptember 1992), pp. 603614] the following results concerning the nature of the function (p) were established: (i) (p) = 3p if and only if p = 2 5k for k = 1, 2,.... (ii) (p) = 2p if and only if p = 5k for k = 1, 2,... or p = 6 5k for k = 0, 1, 2,.... (iii) (p) 12p/7 for all other choices of p. Find (250), (25), (125), (30), (10), (50), (3750), (6), and (5).
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