Triangle read by rows: T(n,k) is the number of permutations of length n such that the minimum over maximum difference of elements in cycles is exactly k; 0 <= k < n.
The minimum over maximum difference of elements in cycles of the permutation (421)(53), written in cycle notation, is 2. The first cycle has maximum difference of 4-1=3, the second cycle has a maximum difference of 5-3=2, and the minimum of these is min(3,2) = 2.
The permutations whose minimum over maximum difference of elements in cycles is 0 are precisely those with a fixed point.