Geodesic
Recursively Generated Periodic Sequences
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1356-1371

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

A sequence (xn ) (n = 1, 2, . . .) is periodic if xn+p = xn for some p and all n. Periodic sequences arise naturally in geometry and arithmetic in the study of mosaic patterns [4], continued fractions and frieze patterns [3; 5]. Some digital oscillators and tone generators also generate periodic sequences. In these cases one computes the period p of the sequence in question. On the other hand, in pseudo random sequences and cryptography [8] it is required to recursively generate sequences of large periods. 
Kurshan, R. P.; Gopinath, B. Recursively Generated Periodic Sequences. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1356-1371. doi: 10.4153/CJM-1974-129-6
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