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%I #12 Feb 16 2015 04:04:08
%S 0,1,2,3,4,5,6,8,7,9,10,11,13,12,14,15,19,21,22,16,20,17,18,23,24,25,
%T 27,26,28,29,33,35,36,30,34,31,32,37,38,39,41,40,51,52,56,58,59,60,62,
%U 63,64,42,43,53,57,61,44,54,45,46,47,55,48,49,50,65,66,67,69,68,70,71
%N Row 1 of A122200, row 7 of A122203 and A122204.
%C An involution of nonnegative integers.
%C The signature-permutation of the automorphism which is derived from the first non-recursive automorphism *A069770 with the recursion schema RIBS (see A122200), or alternatively, derived from the seventh non-recursive automorphism *A089854 with recursion scheme SPINE or ENIPS (see A122203, A122204 for their definitions).
%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%Y The number of fixed points in range [A014137(n-1)..A014138(n-1)] of this permutation is given by INVERT transform of "aerated" Catalan numbers [1, 1, 0, 1, 0, 2, 0, 5, 0, 14, 0, 42, ...].
%K nonn
%O 0,3
%A _Antti Karttunen_, Sep 01 2006