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A127292
Signature-permutation of the inverse of Elizalde's and Deutsch's 2003 bijection for Dyck paths.
8
0, 1, 3, 2, 8, 7, 4, 5, 6, 22, 21, 17, 18, 20, 11, 9, 12, 13, 10, 16, 14, 19, 15, 64, 63, 58, 59, 62, 48, 45, 49, 50, 46, 57, 54, 61, 55, 33, 30, 23, 25, 28, 34, 31, 35, 36, 32, 24, 26, 29, 27, 47, 44, 37, 39, 42, 56, 53, 60, 51, 38, 40, 43, 41, 52, 196, 195, 189, 190, 194
OFFSET
0,3
COMMENTS
Note that this automorphism cannot be produced just by giving A127288 (the inverse of A127287) to function "tau" given in A127291. Instead, we have to use another algorithm given in A127300 and then conjugate it by A057164.
REFERENCES
Emeric Deutsch and Sergi Elizalde, A simple and unusual bijection for Dyck paths and its consequences, Annals of Combinatorics, 7 (2003), no. 3, 281-297.
CROSSREFS
Inverse: A127291. a(n) = A057164(A127290(n)) = A057164(A127300(A057164(n))).
Sequence in context: A122296 A122359 A131007 * A131165 A131158 A082350
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 16 2007
STATUS
approved