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Answer:
Fibonacci meanders
Explanation:
1, 2, 4, 7, 12, 20, 33, 54, 88,with offset 1. This sequence counts the number of Fibonacci meanders. A Fibonacci meander is a meander which does not change direction to the left except at the beginning of the curve where it is allowed to make (or not to make) as many left turns as it likes.