A130924 Signature permutation of a Catalan automorphism: Inverse KROF-transform of automorphism *A120706.

0, 1, 3, 2, 7, 6, 8, 4, 5, 17, 18, 15, 14, 16, 20, 19, 21, 9, 10, 22, 11, 12, 13, 48, 46, 50, 49, 45, 40, 39, 41, 37, 38, 43, 42, 44, 47, 54, 55, 52, 51, 53, 57, 56, 58, 23, 24, 59, 25, 26, 27, 61, 60, 62, 28, 29, 63, 30, 31, 32, 64, 33, 34, 35, 36, 141, 145, 134, 133, 139

Offset

0,3

Comments

This is the unique Catalan automorphism f, such that *A120706 = (KROF f). See A122202 for the definition of KROF.

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 (*A130924! s) (cond ((pair? s) (*A120705! (cdr s)) (*A120705! (car s)) (*A120706! s))) s)

Crossrefs

Inverse: A130923. Cf. A130925 & A130926.

Sequence in context: A072095 A131009 A129609 * A073269 A122329 A130954

Adjacent sequences: A130921 A130922 A130923 * A130925 A130926 A130927

Keyword

nonn

Author

Antti Karttunen, Jun 11 2007

Status

approved