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Everything about Somos sequence
In mathematics, a Somos sequence is a sequence of numbers defined by a certain recurrence relation, described below. They were discovered by mathematician Michael Somos. From the form of their defining recurrence, one would expect the terms of the sequence to be fractions, but surprisingly, a few Somos sequences have the property that all of their members are integers. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Somos sequenceA 5-minute orientation
- Skim a recent paper: Polynomial Somos sequences IIInfluential work since 2022
- Read the landmark paper: Improved continued fraction sequence convergent to the Somos' quadratic recurrence constantCited 11 times
- Go sideways: Engel expansionA closely related topic
- Go sideways: Beatty sequenceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant
A conjecture based on Somos-4 sequence and its extension
Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
Somos-4 and Somos-5 are arithmetic divisibility sequences
The density of primes dividing a term in the Somos-5 sequence
On Somos-4 and Somos-5 Sequences
On coefficients and initial conditions of Somos-6 sequence having rank 3
🆕 Influential since 2022
📚 Books worth reading
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