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A080972 a(n) = A080969(n)/A080967(A080979(A080970(n))). 5
1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 1, 4, 1, 2, 1, 2, 2, 3, 3, 1, 2, 2, 1, 2, 4, 1, 1, 2, 1, 4, 4, 1, 2, 2, 1, 2, 4, 1, 2, 4, 2, 4, 1, 1, 4, 4, 1, 4, 1, 2, 1, 4, 4, 2, 1, 4, 4, 2, 4, 4, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Donaghey shows in his paper that the orbit size (under the automorphism A057505/A057506) of each non-branch-reduced tree encoded by A080971(n) is divisible by the orbit size of the corresponding branch-reduced tree. This sequence gives the corresponding ratio.
LINKS
Robert Donaghey, Automorphisms on Catalan trees and bracketing, J. Combin. Theory, Series B, 29 (1980), 75-90.
CROSSREFS
Sequence in context: A192227 A102673 A085297 * A037814 A179529 A118668
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 02 2003
STATUS
approved

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Last modified July 12 09:57 EDT 2024. Contains 374239 sequences. (Running on oeis4.)