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%I #5 Mar 31 2012 13:21:16
%S 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,
%T 40,41,51,52,56,62,59,60,64,63,58,42,43,44,45,46,53,54,55,23,24,61,25,
%U 26,27,47,48,57,28,29,49,30,31,32,50,33,34,35,36,107,108,109,110,111
%N Signature permutation of a Catalan automorphism: Inverse FORK-transform of automorphism *A120706.
%C This is the unique Catalan automorphism f, such that *A120706 = (FORK f). See A122201 for the definition of FORK.
%H A. Karttunen, <a href="/A130925/b130925.txt">Table of n, a(n) for n = 0..2055</a>
%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%o (Destructive Scheme implementation of this automorphism, which acts on S-expressions, i.e. list-structures:)
%o (define (*A130925! s) (cond ((pair? s) (*A074679! s) (cond ((pair? (car s)) (*A120706! (caar s)) (*A120705! (cdar s)) (*A120705! (car s)))))) s)
%Y Inverse: A130926. Cf. A130923 & A130924.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 11 2007