A130925 Signature permutation of a Catalan automorphism: Inverse FORK-transform of automorphism *A120706.

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

Offset

0,3

Comments

This is the unique Catalan automorphism f, such that *A120706 = (FORK f). See A122201 for the definition of FORK.

Links

A. Karttunen, Table of n, a(n) for n = 0..2055

Index entries for signature-permutations of Catalan automorphisms

Prog

(Destructive Scheme implementation of this automorphism, which acts on S-expressions, i.e. list-structures:)
(define (*A130925! s) (cond ((pair? s) (*A074679! s) (cond ((pair? (car s)) (*A120706! (caar s)) (*A120705! (cdar s)) (*A120705! (car s)))))) s)

Crossrefs

Inverse: A130926. Cf. A130923 & A130924.

Sequence in context: A069773 A122321 A072093 * A089858 A071660 A130393

Adjacent sequences: A130922 A130923 A130924 * A130926 A130927 A130928

Keyword

nonn

Author

Antti Karttunen, Jun 11 2007

Status

approved