The number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549.
Write a function to determine whether the input is a fibodiv number.
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