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Signature permutation of a Catalan automorphism: Inverse KROF-transform of automorphism *A120706.
4

%I #5 Mar 31 2012 13:21:16

%S 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,

%T 49,45,40,39,41,37,38,43,42,44,47,54,55,52,51,53,57,56,58,23,24,59,25,

%U 26,27,61,60,62,28,29,63,30,31,32,64,33,34,35,36,141,145,134,133,139

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

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

%H A. Karttunen, <a href="/A130924/b130924.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 (*A130924! s) (cond ((pair? s) (*A120705! (cdr s)) (*A120705! (car s)) (*A120706! s))) s)

%Y Inverse: A130923. Cf. A130925 & A130926.

%K nonn

%O 0,3

%A _Antti Karttunen_, Jun 11 2007