Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000973
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Mapping
St000973: Ordered trees ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[]]
 => 2
[[],[]]
 => 2
[[[]]]
 => 4
[[],[],[]]
 => 2
[[],[[]]]
 => 3
[[[]],[]]
 => 3
[[[],[]]]
 => 4
[[[[]]]]
 => 6
[[],[],[],[]]
 => 2
[[],[],[[]]]
 => 3
[[],[[]],[]]
 => 2
[[],[[],[]]]
 => 3
[[],[[[]]]]
 => 4
[[[]],[],[]]
 => 3
[[[]],[[]]]
 => 4
[[[],[]],[]]
 => 3
[[[[]]],[]]
 => 4
[[[],[],[]]]
 => 4
[[[],[[]]]]
 => 5
[[[[]],[]]]
 => 5
[[[[],[]]]]
 => 6
[[[[[]]]]]
 => 8
[[],[],[],[],[]]
 => 2
[[],[],[],[[]]]
 => 3
[[],[],[[]],[]]
 => 2
[[],[],[[],[]]]
 => 3
[[],[],[[[]]]]
 => 4
[[],[[]],[],[]]
 => 2
[[],[[]],[[]]]
 => 3
[[],[[],[]],[]]
 => 2
[[],[[[]]],[]]
 => 2
[[],[[],[],[]]]
 => 3
[[],[[],[[]]]]
 => 4
[[],[[[]],[]]]
 => 3
[[],[[[],[]]]]
 => 4
[[],[[[[]]]]]
 => 5
[[[]],[],[],[]]
 => 3
[[[]],[],[[]]]
 => 4
[[[]],[[]],[]]
 => 3
[[[]],[[],[]]]
 => 4
[[[]],[[[]]]]
 => 5
[[[],[]],[],[]]
 => 3
[[[[]]],[],[]]
 => 4
[[[],[]],[[]]]
 => 4
[[[[]]],[[]]]
 => 5
[[[],[],[]],[]]
 => 3
[[[],[[]]],[]]
 => 3
[[[[]],[]],[]]
 => 4
[[[[],[]]],[]]
 => 4
[[[[[]]]],[]]
 => 5
Description
The length of the boundary of an ordered tree. This is the sum of the number of edges to the left most and the right most leaf.