Integer sequences | Recurrence relations

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 (which involves division), one would expect the terms of the sequence to be fractions, but nevertheless many Somos sequences have the property that all of their members are integers. (Wikipedia).

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Cluster algebra | Mathematics | Recurrence relation | Numberphile