


These are some examples of similar permutations ordered in arrays.
Each permutation is represented by its:
 placebased inversion set
 Rothe diagram (including the matrix representation as dots)
 leftinversion vector (0s represented by dots, the leading 0s omitted)
 reverse colexicographic index, i.e. the leftinversion vector interpreted as a littleendian factorial number
For the last permutation in each array the corresponding permutation matrix is also shown.
















Circular shifts to the left,
i.e. permutations whose cycle notation is of the form $(1~n~...~3~2)$:
A007489 = 0, 1, 3, 9, 33, 153, 873, 5913...

Circular shifts to the right,
i.e. permutations whose cycle notation is of the form $(1~2~3~...~n)$:
A001563 = 0, 1, 4, 18, 96, 600, 4320, 35280...
