@misc{oai:chuo-u.repo.nii.ac.jp:00016856,
 author = {Noriyuki, Suwa},
 month = {Nov},
 note = {application/pdf, It is known that the generating function of the Fibonacci sequence, F(t) =\sum_{k=0}^{\infty} F_k t^k = t/(1 - t - t^2), attains an integer value if and only if t = F_k/F_{k+1} for some k \in Z. In this article, we generalize this result for the Lucas sequences and the companion Lucas sequences associated to (P, ±1), clarifying a role of the arithmetic of real quadratic number  elds.},
 title = {Integer values of generating functions for Lucas sequences},
 year = {2021}
}