Identifier
-
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
St000128: Binary trees ⟶ ℤ
Values
=>
Cc0010;cc-rep
[1]=>[.,.]=>0
[1,2]=>[.,[.,.]]=>0
[2,1]=>[[.,.],.]=>0
[1,2,3]=>[.,[.,[.,.]]]=>0
[1,3,2]=>[.,[[.,.],.]]=>0
[2,1,3]=>[[.,.],[.,.]]=>0
[2,3,1]=>[[.,.],[.,.]]=>0
[3,1,2]=>[[.,[.,.]],.]=>0
[3,2,1]=>[[[.,.],.],.]=>0
[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>0
[1,2,4,3]=>[.,[.,[[.,.],.]]]=>0
[1,3,2,4]=>[.,[[.,.],[.,.]]]=>0
[1,3,4,2]=>[.,[[.,.],[.,.]]]=>0
[1,4,2,3]=>[.,[[.,[.,.]],.]]=>0
[1,4,3,2]=>[.,[[[.,.],.],.]]=>0
[2,1,3,4]=>[[.,.],[.,[.,.]]]=>0
[2,1,4,3]=>[[.,.],[[.,.],.]]=>0
[2,3,1,4]=>[[.,.],[.,[.,.]]]=>0
[2,3,4,1]=>[[.,.],[.,[.,.]]]=>0
[2,4,1,3]=>[[.,.],[[.,.],.]]=>0
[2,4,3,1]=>[[.,.],[[.,.],.]]=>0
[3,1,2,4]=>[[.,[.,.]],[.,.]]=>0
[3,1,4,2]=>[[.,[.,.]],[.,.]]=>0
[3,2,1,4]=>[[[.,.],.],[.,.]]=>0
[3,2,4,1]=>[[[.,.],.],[.,.]]=>0
[3,4,1,2]=>[[.,[.,.]],[.,.]]=>0
[3,4,2,1]=>[[[.,.],.],[.,.]]=>0
[4,1,2,3]=>[[.,[.,[.,.]]],.]=>0
[4,1,3,2]=>[[.,[[.,.],.]],.]=>0
[4,2,1,3]=>[[[.,.],[.,.]],.]=>0
[4,2,3,1]=>[[[.,.],[.,.]],.]=>0
[4,3,1,2]=>[[[.,[.,.]],.],.]=>0
[4,3,2,1]=>[[[[.,.],.],.],.]=>0
[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>0
[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>0
[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>0
[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>0
[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>1
[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>0
[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>0
[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>0
[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>0
[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>0
[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>0
[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>0
[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>0
[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>0
[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>0
[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>0
[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>0
[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>0
[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>0
[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>0
[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>0
[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>0
[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>0
[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>0
[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>0
[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>0
[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>0
[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]=>0
[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]=>0
[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>0
[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]=>0
[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]=>0
[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]=>0
[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]=>0
[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]=>0
[2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]=>0
[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]=>0
[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]=>0
[2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]=>0
[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]=>0
[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]=>0
[2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]=>0
[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]=>0
[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]=>0
[2,5,3,1,4]=>[[.,.],[[.,[.,.]],.]]=>0
[2,5,3,4,1]=>[[.,.],[[.,[.,.]],.]]=>0
[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]=>0
[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]=>0
[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]=>0
[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]=>0
[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]=>0
[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]=>0
[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]=>0
[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]=>0
[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>0
[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>0
[3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]=>0
[3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]=>0
[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]=>0
[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]=>0
[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>0
[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]=>0
[3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]=>0
[3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]=>0
[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]=>0
[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]=>0
[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]=>0
[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>0
[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]=>0
[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]=>0
[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]=>0
[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]=>0
[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]=>0
[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]=>0
[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]=>0
[4,1,3,5,2]=>[[.,[[.,.],.]],[.,.]]=>0
[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]=>0
[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]=>0
[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]=>0
[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]=>0
[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>0
[4,2,3,5,1]=>[[[.,.],[.,.]],[.,.]]=>0
[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>0
[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]=>0
[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]=>0
[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]=>0
[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>0
[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]=>0
[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]=>0
[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]=>0
[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]=>0
[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]=>0
[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]=>0
[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]=>0
[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>0
[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]=>0
[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]=>0
[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]=>0
[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]=>0
[5,1,3,4,2]=>[[.,[[.,.],[.,.]]],.]=>0
[5,1,4,2,3]=>[[.,[[.,[.,.]],.]],.]=>0
[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]=>0
[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]=>0
[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]=>0
[5,2,3,1,4]=>[[[.,.],[.,[.,.]]],.]=>0
[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]=>0
[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]=>0
[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]=>0
[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]=>0
[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]=>0
[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]=>0
[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]=>0
[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]=>0
[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]=>0
[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]=>0
[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]=>0
[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]=>0
[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]=>0
[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]=>0
[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>0
[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>0
[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>0
[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>0
[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>0
[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>1
[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>0
[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>0
[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>0
[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>0
[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]=>0
[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>0
[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]=>0
[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>1
[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>1
[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>0
[1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>0
[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>1
[1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>0
[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]=>1
[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]=>1
[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]=>1
[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>1
[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]=>0
[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>0
[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>0
[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>0
[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>1
[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>0
[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>0
[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>0
[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>0
[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]=>0
[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>0
[1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]=>0
[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>0
[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>1
[1,3,6,2,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>0
[1,3,6,4,2,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>1
[1,3,6,4,5,2]=>[.,[[.,.],[[.,[.,.]],.]]]=>1
[1,3,6,5,2,4]=>[.,[[.,.],[[[.,.],.],.]]]=>0
[1,3,6,5,4,2]=>[.,[[.,.],[[[.,.],.],.]]]=>0
[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>0
[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>0
[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>0
[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>0
[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>0
[1,4,2,6,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>0
[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>0
[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]=>0
[1,4,3,5,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>0
[1,4,3,5,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>0
[1,4,3,6,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>0
[1,4,3,6,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>0
[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>0
[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>0
[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>0
[1,4,5,3,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>0
[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>0
[1,4,5,6,3,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>0
[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>0
[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>0
[1,4,6,3,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>0
[1,4,6,3,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>0
[1,4,6,5,2,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>0
[1,4,6,5,3,2]=>[.,[[[.,.],.],[[.,.],.]]]=>0
[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>0
[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>0
[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>0
[1,5,2,4,6,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>0
[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>0
[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>0
[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,3,2,6,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,3,4,6,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,3,6,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]=>0
[1,5,4,2,6,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>0
[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]=>0
[1,5,4,3,6,2]=>[.,[[[[.,.],.],.],[.,.]]]=>0
[1,5,4,6,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>0
[1,5,4,6,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>0
[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>0
[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>0
[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,6,3,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>0
[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>0
[1,5,6,4,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>0
[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]=>0
[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]=>0
[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]=>0
[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]=>0
[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]=>0
[1,6,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],.]]=>0
[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>0
[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]=>0
[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>0
[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>0
[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]=>0
[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>0
[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]=>0
[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>0
[1,6,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],.]]=>0
[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]=>0
[1,6,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>0
[1,6,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],.]]=>0
[1,6,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],.]]=>0
[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]=>0
[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]=>0
[1,6,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],.]]=>0
[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]=>0
[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]=>0
[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>0
[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>0
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[6,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],.]=>0
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[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>0
[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>0
[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]=>0
[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]=>0
[6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]=>0
[6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>0
[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>0
[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>0
[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]=>0
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[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>0
[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>0
[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>0
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[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>0
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[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>0
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[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]=>0
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[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>0
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[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>1
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[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>1
[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>1
[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>1
[1,2,6,7,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>1
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[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>1
[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>1
[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>1
[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>1
[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>1
[1,2,7,3,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],.]]]=>1
[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>1
[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>1
[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>1
[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>1
[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>1
[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>1
[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>1
[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>1
[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>1
[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>1
[1,2,7,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>1
[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>1
[1,2,7,6,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>0
[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]=>0
[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>0
[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>0
[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]=>0
[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>0
[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>0
[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>0
[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>0
[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>0
[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>1
[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>0
[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>0
[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>0
[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>0
[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>0
[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>0
[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>0
[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>1
[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>1
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[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>0
[7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>0
[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>0
[7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>0
[7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>0
[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]=>0
[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>0
[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>0
[7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>0
[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>0
[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>0
[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>0
[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>0
[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>0
[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]=>0
[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>0
[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>0
[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>0
[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>0
[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]=>0
[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]=>0
[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>0
[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]=>0
[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>0
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Description
The number of occurrences of the contiguous pattern [.,[.,[[.,[.,.]],.]]] in a binary tree.
oeis:A159769 counts binary trees avoiding this pattern.
oeis:A159769 counts binary trees avoiding this pattern.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
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