|
|
A245889
|
|
Number of labeled increasing unary-binary trees on n nodes whose breadth-first reading word avoids 312.
|
|
3
|
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
The number of labeled increasing unary-binary trees with an associated permutation avoiding 312 in the classical sense. The tree's permutation is found by recording the labels in the order in which they appear in a breadth-first search. (Note that a breadth-first search reading word is equivalent to reading the tree labels left to right by levels, starting with the root.)
In some cases, the same breadth-first search reading permutation can be found on differently shaped trees. This sequence gives the number of trees, not the number of permutations.
|
|
LINKS
|
|
|
EXAMPLE
|
When n=4, a(n)=8. In the Links above we show the eight labeled increasing trees on four nodes whose permutation avoids 312.
|
|
CROSSREFS
|
A245895 gives the number of binary trees instead of unary-binary trees. A245899 gives the number of permutations which avoid 312 that are breadth-first reading words on labeled increasing unary-binary trees.
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|