Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers

Table 1

𝐋2	𝒫𝐋2(𝑟)	Roots of 𝒫𝐋2(𝑟)=0
𝐃^2	3𝑟^2+2𝑟−1	1/3,−1
𝐃𝐂	4𝑟	0
𝐂𝐃	4𝑟	0
𝐂^2	4	⧵