Identifier
Values
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>1 [.,[.,.]]=>[2,1]=>1 [[.,.],.]=>[1,2]=>2 [.,[.,[.,.]]]=>[3,2,1]=>1 [.,[[.,.],.]]=>[2,3,1]=>1 [[.,.],[.,.]]=>[3,1,2]=>2 [[.,[.,.]],.]=>[2,1,3]=>2 [[[.,.],.],.]=>[1,2,3]=>3 [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>1 [.,[.,[[.,.],.]]]=>[3,4,2,1]=>1 [.,[[.,.],[.,.]]]=>[4,2,3,1]=>1 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>1 [.,[[[.,.],.],.]]=>[2,3,4,1]=>1 [[.,.],[.,[.,.]]]=>[4,3,1,2]=>2 [[.,.],[[.,.],.]]=>[3,4,1,2]=>2 [[.,[.,.]],[.,.]]=>[4,2,1,3]=>2 [[[.,.],.],[.,.]]=>[4,1,2,3]=>3 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>2 [[.,[[.,.],.]],.]=>[2,3,1,4]=>2 [[[.,.],[.,.]],.]=>[3,1,2,4]=>3 [[[.,[.,.]],.],.]=>[2,1,3,4]=>3 [[[[.,.],.],.],.]=>[1,2,3,4]=>4 [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>1 [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>1 [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>1 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>1 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>1 [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>1 [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>1 [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>1 [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>1 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>1 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>1 [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>1 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>1 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>1 [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>2 [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>2 [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>2 [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>2 [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>2 [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>2 [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>2 [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>3 [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>3 [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>2 [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>2 [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>3 [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>3 [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>4 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>2 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>2 [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>2 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>2 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>2 [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>3 [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>3 [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>3 [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>4 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>3 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>3 [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>4 [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>4 [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>5 [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>1 [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>1 [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>1 [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>1 [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>1 [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>1 [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>1 [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>1 [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>1 [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>1 [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>1 [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>1 [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>1 [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>1 [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>1 [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>1 [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>1 [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>1 [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>1 [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>1 [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>1 [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>1 [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>1 [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>1 [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>1 [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>1 [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>1 [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>1 [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>1 [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>1 [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>1 [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>1 [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>1 [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>1 [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>1 [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>1 [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>1 [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>1 [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>1 [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>1 [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>1 [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>1 [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>2 [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>2 [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>2 [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>2 [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>2 [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>2 [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>2 [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>2 [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>2 [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>2 [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>2 [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>2 [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>2 [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>2 [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>2 [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>2 [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>2 [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>2 [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>2 [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>3 [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>3 [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>3 [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>3 [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>3 [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>2 [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>2 [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>2 [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>2 [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>3 [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>3 [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>3 [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>3 [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>4 [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>4 [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>2 [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>2 [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>2 [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>2 [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>2 [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>3 [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>3 [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>3 [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>4 [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>3 [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>3 [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>4 [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>4 [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>5 [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>2 [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>2 [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>2 [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>2 [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>2 [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>2 [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>2 [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>2 [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>2 [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>2 [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>2 [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>2 [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>2 [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>2 [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>3 [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>3 [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>3 [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>3 [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>3 [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>3 [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>3 [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>4 [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>4 [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>3 [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>3 [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>4 [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>4 [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>5 [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>3 [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>3 [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>3 [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>3 [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>3 [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>4 [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>4 [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>4 [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>5 [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>4 [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>4 [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>5 [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>5 [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>6
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Description
The number of right-to-left minima of a permutation.
For the number of left-to-right maxima, see St000314The number of left-to-right-maxima of a permutation..
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.