A function-theoretic approach to the study of nonlinear recurring sequences
Joel Franklin, Solomon W. Golomb · Pacific Journal of Mathematics · 1975
For every real r g 0, there is a sequence {b'Γ} defined by (1) b ( o r> =\, & ( ;ί, = Π b\ r) + r for niίO.ι = 1 These sequences were considered previously, in [1], for integer values of r, and it was shown that there is a constant 0 = 0(r) such that (2) b { ;U~θ 2 \ n->«,, for each r=l,2,3, .It was observed that