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Math sequence. What number comes next?

I have created a pattern that is fairly interesting. It is discoverable from a geometric shape. The sequence begins: 1,2,4,9,1,18,1,2.... It is a repeating pattern. It could be an infinite repeating pattern if you continue the iterations. With an infinitely high number. (This specifically is not) It's highest term is 72. It has 59 terms. What is the sequence?