On a family of sequences defined recursively in (II)

This paper is a second part to previous work (see Finite Fields Appl. 9 (2003) 211). Different conjectures stated there are proven here. We are concerned with sequences (xi)i 1 in such that the continued fraction expansion [x1T,x2T,…,xnT,…] in is algebraic over . These algebraic elements correspond in some way to quadratic real numbers for which the continued fraction expansion is well known.