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How many permutations of the set [1..9] do not have seven consecutive numbers in a row? For clarification, here are examples of permutations that have

How many permutations of the set [1..9] do not have seven consecutive numbers in a row?

For clarification, here are examples of permutations that have seven consecutive numbers and are thus not allowed: ex1) 1, 2, 3, 4, 5, 6, 7, 8, 9 ex2) 2, 3, 4, 5, 6, 7, 8, 1, 9 ex3) 8, 9, 1, 2, 3, 4, 5, 6, 7.

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