A086427 Permutation of natural numbers induced by the Catalan bijection gma086427 acting on symbolless S-expressions encoded by A014486/A063171.

0, 1, 3, 2, 8, 6, 7, 5, 4, 22, 19, 20, 15, 14, 21, 16, 18, 13, 12, 17, 10, 11, 9, 64, 60, 61, 52, 51, 62, 53, 55, 41, 40, 54, 38, 39, 37, 63, 56, 57, 43, 42, 59, 47, 50, 36, 34, 49, 35, 32, 31, 58, 44, 46, 27, 26, 48, 29, 33, 30, 45, 24, 25, 28, 23, 196, 191, 192, 178, 177

Offset: 0

Author

Antti Karttunen, Jun 23 2003

Keywords

• nonn

Comments

This Catalan bijection rotates by "half step" the interpretations (pp)-(rr) of Stanley, using the "descending slope" mapping illustrated in A086431.

Links

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

Crossrefs

Inverse: A086428. a(n) = A086431(A086428(A086431(n))) = A057164(A085173(A057164(n))) = A086425(A057501(A086426(n))). Occurs in A073200. Cf. also A086429 (whole step rotate).

Number of cycles: A002995. Number of fixed points: A019590. Max. cycle size: A057543. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).