The Collatz Problem in the Light of an Infinite Free Semigroup

Table 2

Multiple link function values.

𝐿	T-word	𝑥	𝑦	𝐷
19	𝑢𝑑𝑑𝑑𝑑𝑢𝑑	5	2	23
	𝑢𝑑𝑢𝑑𝑢𝑑	3	3	−19
259	𝑢𝑑^8𝑢𝑑	9	2	503
	𝑢𝑑^3𝑢𝑑^2𝑢𝑑𝑢𝑑	7	4	47
	𝑢𝑑𝑢𝑑𝑢𝑑𝑢𝑑^3𝑢𝑑	7	5	−115
4459	𝑢𝑑^4𝑢𝑑^2𝑢𝑑^6𝑢𝑑	13	4	8111
	𝑢𝑑𝑢𝑑𝑢𝑑^4𝑢𝑑^6𝑢𝑑	13	5	7949
	𝑢𝑑^3𝑢𝑑𝑢𝑑^2𝑢𝑑^3𝑢𝑑𝑢𝑑	11	6	1319
	𝑢𝑑𝑢𝑑𝑢𝑑𝑢𝑑𝑢𝑑^5𝑢𝑑𝑢𝑑	11	7	−139