A070041 Permutation of natural numbers induced by the automorphism df->bf (from the depth-first to breadth-first encoding) acting on the rooted planar binary trees encoded by A014486. (with one-based indexing).

1, 2, 5, 3, 4, 11, 12, 13, 6, 7, 14, 10, 8, 9, 29, 30, 33, 31, 32, 36, 37, 34, 15, 16, 35, 19, 17, 18, 40, 41, 42, 25, 26, 38, 27, 20, 21, 39, 28, 24, 22, 23, 85, 86, 89, 87, 88, 95, 96, 97, 90, 91, 98, 94, 92, 93, 104, 105, 112, 108, 109, 106, 110, 99, 43, 44, 100, 47, 45