Then T(x)=int(mix ⁄ d)+Xi, if x≡ i (mod d).
Example. The 3x+1 mapping T(x)=x ⁄ 2 if x is even, (3x+1) ⁄ 2 if x is odd, corresponds to m0=1, m1=3, x0=0, x1=1.
Starting in 1982, Tony Watts and I investigated the frequencies of occupation of congruence classes (mod M)
of trajectories arising from generalized 3x+1 functions. (See earlier 3x+1 interests)
Experimentally we observed that all trajectories exhibited a limiting frequency of occupation of congruence classes (mod M).
The present program prints these frequencies for the iterates x, T(x), T2(x), ...,Tk-1(x)
Last modified 13th April 2010
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