# Simple Somos Sequence Calculator

An old Russian olympiad problem asked to prove that the sequence generated by the following algorithm

a_{1} = 1, a_{2} = 1,

a_{n} = (a_{n-1}^{2} + 2) / a_{n-2}, n ≥ 3.

consists entirely of positive integers.

A proof of this fact can be found on a separate page, where it was also observed that the statement holds when 2 in the numerator is replaced with any positive integer m. The applet below generates as many members of the sequence as fit the applet drawing area. The parameter m ranges from 2 through 100.

What if applet does not run? |

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- Simple Somos Sequence - a Russian Olympiad problem
- Simple Somos Sequence Calculator

- The Rascal Triangle
- Frieze Patterns

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