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Signature permutation of a Catalan automorphism: Inverse KROF-transform of automorphism *A120705.
4

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

%S 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,

%T 49,50,54,55,57,58,59,61,62,63,64,23,24,25,26,27,37,38,39,40,41,51,52,

%U 56,60,28,29,42,43,44,30,53,36,32,33,47,31,35,34,129,130,132,133,134

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

%C This is the unique Catalan automorphism f, such that *A120705 = (KROF f). See A122202 for the definition of KROF.

%H A. Karttunen, <a href="/A130926/b130926.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 (*A130926! s) (cond ((pair? s) (*A120706! (cdr s)) (*A120706! (car s)) (*A120705! s))) s)

%Y Inverse: A130925. Cf. A130923 & A130924.

%K nonn

%O 0,3

%A _Antti Karttunen_, Jun 11 2007