This script generates the Yellowstone Permutation.
output: [1, 2, 3, 4, 9, 8, 15, 14, 5, 6, 25, 12, 35, 16, 7, 10, 21, 20, 27, 22, 39, 11, 13, 33, 26, 45, 28, 51, 32, 17, 18, 85, 24, 55, 34, 65, 36, 91, 30, 49, 38, 63, 19, 42, 95, 44, 57, 40, 69, 50, 23, 48, 115, 52, 75, 46, 81, 56, 87, 62, 29, 31, 58, 93, 64, 99, 68, 77, 54, 119, 60, 133, 66, 161, 72, 175, 74, 105, 37, 70, 111, 76, 117, 80, 123, 86, 41, 43, 82, 129, 88, 135, 92, 125, 78, 145, 84, 155, 94, 165]