A130342 Row 3 of A122204.

0, 1, 2, 3, 5, 4, 6, 7, 8, 13, 12, 11, 9, 10, 15, 14, 16, 17, 18, 19, 20, 21, 22, 36, 35, 34, 31, 32, 33, 30, 28, 23, 24, 29, 25, 26, 27, 41, 40, 39, 37, 38, 43, 42, 44, 45, 46, 47, 48, 49, 50, 52, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 106, 105, 104, 100, 101

Offset: 0

Author

Antti Karttunen, Jun 05 2007

Keywords

• nonn

Comments

The signature-permutation of the Catalan automorphism which is derived from the third non-recursive Catalan automorphism *A089850 with recursion schema ENIPS (see A122204 for the definition). This automorphism is also produced when automorphism *A069768 is applied to the right-hand side subtree of the given binary tree, with the left side left intact.

Links

• A. Karttunen, Table of n, a(n) for n = 0..2055
• Index entries for signature-permutations of Catalan automorphisms

Crossrefs

Inverse: A130341. a(n) = A069770(A069768(n)). The number of cycles and the number of fixed points in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A089404 and A073268. Cf. also A073287.