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A092781
Maximum number of nonempty subtrees of a binary tree with n leaves.
1
3, 11, 28, 63, 143, 304, 699, 1490, 3460, 7527, 17687, 38008, 88803, 194426, 458476, 986577, 2306822, 5052901
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OFFSET
2,1
COMMENTS
This maximum number is achieved by the 'good' binary trees defined in the paper.
LINKS
Table of n, a(n) for n=2..19.
L. A. Székely and Hua Wang,
On Subtrees of Trees
, Advances in Applied Mathematics, Volume 34, Issue 1, January 2005, Pages 138-155.
L. A. Székely and Hua Wang,
Binary trees with the largest number of subtrees
, Discrete Applied Mathematics, Volume 155, Issue 3, 1 February 2007, Pages 374-385.
X.-M. Zhang and X.-D. Zhang,
Trees with given degree sequences that have minimal subtrees
, arXiv preprint arXiv:1209.0273 [math.CO], 2012. - From
N. J. A. Sloane
, Dec 26 2012
CROSSREFS
Sequence in context:
A211810
A182260
A163696
*
A332669
A391645
A302509
Adjacent sequences:
A092778
A092779
A092780
*
A092782
A092783
A092784
KEYWORD
nonn
,
more
AUTHOR
Hua Wang (wren1107(AT)yahoo.com.cn), Apr 23 2004
STATUS
approved