A Sequence of Positive Integers is called an iteration sequence if thereExists a strictly increasing sequence of Positive Integers such that and for , 3, .... A Necessary and Sufficient condition for to be an iteration sequence is
for all .
References
Kimberling, C. ``Interspersions and Dispersions.'' Proc. Amer. Math. Soc.117, 313-321, 1993.