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A161746 The number of equivalence classes of n-leaf binary trees with respect to pattern avoidance. +0
1
1, 1, 1, 2, 3, 7, 15, 44 (list; graph; listen)
OFFSET

1,4

COMMENT

Terms a(2) through a(8) coincide with terms 0 through 6 of A045629. However, this agreement does not continue, since a(9) is in the range 133 <= a(9) <= 139.

LINKS

Eric S. Rowland, Pattern avoidance in binary trees.

EXAMPLE

Representatives of the a(6) = 7 equivalence classes of 6-leaf binary trees are given in A036766, A159768, A159769, A159770, A159771, A159772, and A159773.

CROSSREFS

Sequence in context: A052321 A114584 A039826 this_sequence A045629 A034731 A110888

Adjacent sequences: A161743 A161744 A161745 this_sequence A161747 A161748 A161749

KEYWORD

hard,nonn

AUTHOR

Eric S Rowland (erowland(AT)math.rutgers.edu), Jun 17 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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