Length of the reduced 3x-1 iteration applied to odd numbers.
1, 2, 3, 2, 5, 2, 4, 2, 11, 2, 5, 2, 10, 2, 4, 2, 12, 2, 8, 2, 5, 2, 4, 2, 10, 2, 5, 2, 8, 2, 4, 2, 18, 2, 7, 2, 5, 2, 4, 2, 8, 2, 5, 2, 13, 2, 4, 2, 16, 2, 10, 2, 5, 2, 4, 2, 7, 2, 5, 2, 7, 2, 4, 2, 16, 2, 8, 2, 5, 2, 4, 2, 13, 2, 5, 2, 43, 2, 4, 2, 8, 2, 15, 2
1
In the reduced iteration, the iteration stops when the next term is less than the first term
T. D. Noe, Plot of 10000 terms
T. D. Noe, Table of 10000 terms
(Mma) Table[cnt = 1; m = n; While[If[EvenQ[m], m = m/2, m = (3*m - 1)/2]; m > n, cnt++]; cnt, {n, 1, 199, 2}]
Cf. S000240, S000253, S000254.
nonn
T. D. Noe, Sep 09 2014