A082320 Permutation A057502 applied four times ("^4"), permutation A082316 squared.
0, 1, 2, 3, 4, 6, 8, 7, 5, 9, 14, 21, 18, 13, 10, 15, 20, 17, 12, 19, 16, 11, 22, 23, 37, 58, 49, 35, 24, 38, 57, 48, 34, 56, 47, 33, 64, 25, 39, 59, 50, 36, 26, 40, 54, 45, 31, 53, 44, 30, 63, 27, 41, 55, 46, 32, 51, 42, 28, 62, 52, 43, 29, 61, 60, 65, 107, 170, 142, 100
Offset: 0