Inventory Loops (i.e. Counting Sequences) have Pre-period $2\max S_1+60$

Onno M. Cain, Sela T. Enin

An Inventory Sequence $(S_0,S_1,S_2,...)$ is the iteration of the map $f$ defined roughly by taking an integer to its numericized description (e.g. $f(1381)=211318$ since "$1381…