A127388 Signature-permutation of a Catalan automorphism, a self-inverse variant of A127379.

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 13, 12, 14, 15, 19, 22, 21, 16, 20, 18, 17, 23, 24, 25, 27, 26, 28, 29, 33, 36, 35, 30, 34, 32, 31, 37, 38, 39, 41, 40, 51, 52, 60, 64, 63, 56, 62, 59, 58, 42, 43, 53, 54, 55, 47, 61, 50, 49, 44, 57, 48, 46, 45, 65, 66, 67, 69, 68, 70, 71

Offset

0,3

Comments

This automorphism is RIBS-transformation (explained in A122200) of the automorphism A127387.

Links

A. Karttunen, Table of n, a(n) for n = 0..2055

Index entries for signature-permutations of Catalan automorphisms

Prog

(Scheme implementation of this automorphism, destructive, that acts on S-expressions, i.e. list-structures:)
(define (*A127388! s) (for-each *A127387! s) s)

Crossrefs

The number of cycles and the number of fixed points in range [A014137(n-1)..A014138(n-1)] of this involution are given by A127386 and A086625 shifted once right (this automorphism has the same fixed points as A127379/A127380). A127302(a(n)) = A127302(n) holds for all n.

Sequence in context: A127379 A073289 A122349 * A307032 A273859 A332073

Adjacent sequences: A127385 A127386 A127387 * A127389 A127390 A127391

Keyword

nonn

Author

Antti Karttunen, Jan 16 2007

Status

approved