Geodesic
A closed-form expression for second-order recurrences
Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2 
E. Haji-Esmaili; S. H. Ghaderi. A closed-form expression for second-order recurrences. Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a9/
@article{AMUC_2011_80_2_a9,
     author = {E. Haji-Esmaili and S. H. Ghaderi},
     title = {A closed-form expression for second-order recurrences},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2011},
     volume = {80},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

This paper introduces a closed-form expression for the second-order recurrence relation an = c 1 a n - 1 + c 2 a n - 2 , in which c 1 and c 2 are fixed constants and the value of two arbitrary terms a n - p and a n - q are known where p and q are positive integers and p > q . This expression is