A069771 Self-inverse permutation of natural numbers induced by the automorphism RotateHandshakes180 acting on the parenthesizations encoded by A014486.

0, 1, 2, 3, 7, 5, 6, 4, 8, 9, 14, 21, 18, 13, 10, 15, 20, 17, 12, 19, 16, 11, 22, 45, 54, 31, 26, 40, 44, 53, 30, 25, 39, 63, 59, 50, 36, 46, 55, 32, 27, 41, 42, 51, 28, 23, 37, 62, 58, 49, 35, 43, 52, 29, 24, 38, 61, 57, 48, 34, 60, 56, 47, 33, 64, 65, 79, 107, 121, 149, 170

Offset: 0

Author

Antti Karttunen, Apr 16 2002

Keywords

• nonn

Comments

This automorphism rotates by 180 degrees the interpretation n (the non-crossing handshakes) of Stanley's exercise 19.

Links

• A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)
• R. P. Stanley, Exercises on Catalan and Related Numbers
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A057501, A069772, A069888, A069889.