Geodesic
A new family of Somos-like recurrences
The electronic journal of combinatorics, Tome 15 (2008)
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We exhibit a three parameter infinite family of quadratic recurrence relations inspired by the well known Somos sequences. For one infinite subfamily we prove that the recurrence generates an infinite sequence of integers by showing that the same sequence is generated by a linear recurrence (with suitable initial conditions). We also give conjectured relations among the three parameters so that the quadratic recurrences generate sequences of integers.
DOI : 10.37236/778
Classification : 11B37 
@article{10_37236_778,
     author = {Paul Heideman and Emilie Hogan},
     title = {A new family of {Somos-like} recurrences},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/778},
     zbl = {1206.11016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/778/}
}
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Paul Heideman; Emilie Hogan. A new family of Somos-like recurrences. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/778

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