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Answer to Question #15034 in Combinatorics | Number Theory for Kshitij D Gajapure

Question #15034
How many permutations σ of the set {1,2,…,15} are there such that σ(1)=1,|σ(n)−σ(n−1)|≤2 for 2≤n≤15?
Note: σ(n) denotes the nth position of the permutation.
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