Geodesic
Curves of genus 2, continued fractions, and Somos sequences
Journal of integer sequences, Tome 8 (2005) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We detail the continued fraction expansion of the square root of monic sextic polynomials. We note in passing that each line of the expansion corresponds to addition of the divisor at infinity, and interpret the data yielded by the general expansion. In particular we obtain an associated Somos sequence defined by a three-term recurrence relation of width 6. 
@article{JIS_2005__8_3_a4,
     author = {van der Poorten, Alfred J.},
     title = {Curves of genus 2, continued fractions, and {Somos} sequences},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a4/}
}
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van der Poorten, Alfred J. Curves of genus 2, continued fractions, and Somos sequences. Journal of integer sequences, Tome 8 (2005) no. 3. http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a4/