A065249 Permutation of N induced by the order-preserving permutation of the positive rational numbers (x -> x/2), positions in Stern-Brocot tree.

2, 8, 1, 32, 4, 11, 6, 128, 16, 35, 18, 5, 47, 24, 3, 512, 64, 131, 66, 17, 143, 72, 9, 21, 44, 23, 191, 96, 12, 27, 14, 2048, 256, 515, 258, 65, 527, 264, 33, 69, 140, 71, 575, 288, 36, 75, 38, 10, 87, 176, 22, 93, 188, 95, 767, 384, 48, 99, 50, 13, 111, 56, 7, 8192