A082319 Permutation A057501 applied four times ("^4"), permutation A082315 squared.
0, 1, 2, 3, 4, 8, 5, 7, 6, 9, 14, 21, 18, 13, 10, 15, 20, 17, 12, 19, 16, 11, 22, 23, 28, 37, 42, 51, 58, 62, 49, 46, 55, 35, 32, 27, 41, 24, 29, 38, 43, 52, 57, 61, 48, 45, 54, 34, 31, 26, 40, 56, 60, 47, 44, 53, 33, 30, 25, 39, 64, 63, 59, 50, 36, 65, 70, 79, 84, 93
Offset: 0