A082335 Permutation of natural numbers induced by the Catalan bijection gma082335 acting on the parenthesizations encoded by A014486/A063171.

0, 1, 3, 2, 6, 7, 8, 5, 4, 14, 15, 16, 17, 18, 19, 20, 21, 13, 12, 22, 11, 10, 9, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 36, 35, 59, 34, 32, 31, 60, 61, 62, 33, 30, 63, 29, 27, 26, 64, 28, 25, 24, 23, 107, 108, 109, 110, 111

Offset: 0

Author

Antti Karttunen, Apr 17 2003

Keywords

• nonn

Comments

This Catalan bijection rotates binary trees left, if possible, otherwise reflects them with the Catalan bijection A057163.

Links

• A. Karttunen, Gatomorphisms (with the complete Scheme source)
• Index entries for signature-permutations induced by Catalan automorphisms

Crossrefs

Inverse of A082336. Cf. also A074679-A074680, A082349-A082350.

Number of fixed-points: A019590. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).