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Counting & ProbabilitySuperchallengeRecursion, Catalan Numbers & Generating Functions

Recursion, Catalan Numbers & Generating Functions · Superchallenge problem

How many permutations of 1,2,3,4,5,6,71,2,3,4,5,6,7, written in a row, never have a number immediately followed by the next larger number? (So none of the blocks 1212, 2323, 3434, 4545, 5656, 6767 appears.)