A generalization of the 3x+1 mapping due to Geoffrey C. Caveney
In a posting to sci.math on February 1, 1998, Geoffrey Caveney
defined a mapping fa,b: → as follows: Let a > b > 1, gcd(a,b) = 1.
For example, a = 3, b = 2 gives the 3x+1 mapping:
was not aware that his mapping was a special case of a mapping studied by Herbert Möller in 1978, which in turn was generalized in 1984 to the case of a relatively prime mapping by K.R. Matthews and A.M. Watts.