Geodesic
On linear recurrence sequences with polynomial coefficients
Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 147-155

Voir la notice de l'article provenant de la source Cambridge University Press

We consider sequences (Ah)defined over the field Q of rational numbers and satisfying a linear homogeneous recurrence relationwith polynomial coefficients sj;. We shall assume without loss of generality, as we may, that the sj, are defined over Z and the initial values A0A]..., An−1 are integer numbers. Also, without loss of generality we may assume that S0 and Sn have no non-negative integer zero. Indeed, any other case can be reduced to this one by making a shift h → h – l – 1 where l is an upper bound for zeros of the corresponding polynomials (and which can be effectively estimated in terms of their heights) 
Poorten, A. J. van der; Shparlinski, I. E. On linear recurrence sequences with polynomial coefficients. Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 147-155. doi: 10.1017/S0017089500031372
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