%I A123719
%S A123719 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,19,20,18,22,23,24,25,
%T A123719 26,27,28,29,30,31,35,33,34,32,36,37,38,39,40,41,42,43,44,45,58,56,54,
%U A123719 49,63,51,52,53,48,62,47,57,46,59,60,61,55,50,64,65,66,67,68,69,70,71
%N A123719 An involution of nonnegative integers: signature permutation of Catalan 
               automorphism which is obtained with recursion schema RIBS from automorphism 
               *A085161
%C A123719 Recursion schema RIBS is defined in A122200. Number of fixed points in 
               range [A014137(n-1)..A014138(n-1)] of this permutation is given by 
               INVERT transform of A001405, appropriately shifted.
%H A123719 <a href="Sindx_Per.html#IntegerPermutationCatAuto">Index entries for 
               signature-permutations of Catalan automorphisms</a>
%o A123719 (Scheme function, constructive implementation of this automorphism acting 
               on S-expressions:) (define *A123719 (RIBS *A085161))
%Y A123719 a(n) = A085160(A085163(n)). A085163(n) = A085159(a(n)).
%Y A123719 Sequence in context: A098452 A088382 A146295 this_sequence A113221 A113219 
               A023771
%Y A123719 Adjacent sequences: A123716 A123717 A123718 this_sequence A123720 A123721 
               A123722
%K A123719 nonn
%O A123719 0,3
%A A123719 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 11 2006