A type of nonlinear expressions of Lucas sequences are established inspired by Hsu . Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2, we may transfer the identities of Lucas sequences to the latter.
Applied Mathematics | Physical Sciences and Mathematics
He, Tian-Xiao, "Construction of Nonlinear Expression for Recursive Number Sequences" (2015). Scholarship. 50.