A123501 - OEIS

A123501

Signature permutation of a Catalan automorphism: apply *A123497 at the root, then recurse into the left subtree of the right hand side subtree of a binary tree.

%I #5 Mar 31 2012 13:21:12

%S 0,1,2,3,4,6,7,5,8,9,10,14,16,19,17,18,12,11,13,20,15,21,22,23,24,25,

%T 26,27,37,38,42,44,47,51,53,56,60,45,46,48,49,50,31,34,30,28,29,35,33,

%U 32,36,54,55,40,39,41,57,43,58,59,61,52,62,63,64,65,66,67,68,69,70,71

%N Signature permutation of a Catalan automorphism: apply *A123497 at the root, then recurse into the left subtree of the right hand side subtree of a binary tree.

%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>

%o (Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define (*A123501! s) (*A123497! s) (cond ((and (pair? s) (pair? (cdr s))) (*A123501! (cadr s)))) s)

%Y Inverse: A123502. A057501(n) = A083927(a(A057123(n))) = A083927(A085159(A057123(n))).

%K nonn

%O 0,3

%A _Antti Karttunen_, Oct 11 2006