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This is the unique Catalan automorphism f, such that *A120705 = (KROF f). See A122202 for the definition of KROF.
A. Karttunen, Table of n, a(n) for n = 0..2055
Index entries for signature-permutations of Catalan automorphisms
(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)
Inverse: A130925. Cf. A130923 & A130924.
Sequence in context: A122324 A074688 A130998 * A069774 A089861 A072092
Adjacent sequences: A130923 A130924 A130925 * A130927 A130928 A130929
Antti Karttunen, Jun 11 2007