A130926 - OEIS

A130926

Signature permutation of a Catalan automorphism: Inverse KROF-transform of automorphism *A120705.

0, 1, 3, 2, 7, 8, 4, 6, 5, 17, 18, 20, 21, 22, 9, 10, 14, 15, 19, 11, 16, 12, 13, 45, 46, 48, 49, 50, 54, 55, 57, 58, 59, 61, 62, 63, 64, 23, 24, 25, 26, 27, 37, 38, 39, 40, 41, 51, 52, 56, 60, 28, 29, 42, 43, 44, 30, 53, 36, 32, 33, 47, 31, 35, 34, 129, 130, 132, 133, 134

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OFFSET

0,3

COMMENTS

This is the unique Catalan automorphism f, such that *A120705 = (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 (*A130926! s) (cond ((pair? s) (*A120706! (cdr s)) (*A120706! (car s)) (*A120705! s))) s)

CROSSREFS