edit this statistic or download as text // json
Identifier
Values
=>
Cc0010;cc-rep
[.,.]=>0 [.,[.,.]]=>0 [[.,.],.]=>0 [.,[.,[.,.]]]=>1 [.,[[.,.],.]]=>0 [[.,.],[.,.]]=>0 [[.,[.,.]],.]=>0 [[[.,.],.],.]=>0 [.,[.,[.,[.,.]]]]=>2 [.,[.,[[.,.],.]]]=>1 [.,[[.,.],[.,.]]]=>1 [.,[[.,[.,.]],.]]=>0 [.,[[[.,.],.],.]]=>0 [[.,.],[.,[.,.]]]=>1 [[.,.],[[.,.],.]]=>0 [[.,[.,.]],[.,.]]=>0 [[[.,.],.],[.,.]]=>0 [[.,[.,[.,.]]],.]=>1 [[.,[[.,.],.]],.]=>0 [[[.,.],[.,.]],.]=>0 [[[.,[.,.]],.],.]=>0 [[[[.,.],.],.],.]=>0 [.,[.,[.,[.,[.,.]]]]]=>3 [.,[.,[.,[[.,.],.]]]]=>2 [.,[.,[[.,.],[.,.]]]]=>2 [.,[.,[[.,[.,.]],.]]]=>1 [.,[.,[[[.,.],.],.]]]=>1 [.,[[.,.],[.,[.,.]]]]=>2 [.,[[.,.],[[.,.],.]]]=>1 [.,[[.,[.,.]],[.,.]]]=>1 [.,[[[.,.],.],[.,.]]]=>1 [.,[[.,[.,[.,.]]],.]]=>1 [.,[[.,[[.,.],.]],.]]=>0 [.,[[[.,.],[.,.]],.]]=>0 [.,[[[.,[.,.]],.],.]]=>0 [.,[[[[.,.],.],.],.]]=>0 [[.,.],[.,[.,[.,.]]]]=>2 [[.,.],[.,[[.,.],.]]]=>1 [[.,.],[[.,.],[.,.]]]=>1 [[.,.],[[.,[.,.]],.]]=>0 [[.,.],[[[.,.],.],.]]=>0 [[.,[.,.]],[.,[.,.]]]=>1 [[.,[.,.]],[[.,.],.]]=>0 [[[.,.],.],[.,[.,.]]]=>1 [[[.,.],.],[[.,.],.]]=>0 [[.,[.,[.,.]]],[.,.]]=>1 [[.,[[.,.],.]],[.,.]]=>0 [[[.,.],[.,.]],[.,.]]=>0 [[[.,[.,.]],.],[.,.]]=>0 [[[[.,.],.],.],[.,.]]=>0 [[.,[.,[.,[.,.]]]],.]=>2 [[.,[.,[[.,.],.]]],.]=>1 [[.,[[.,.],[.,.]]],.]=>1 [[.,[[.,[.,.]],.]],.]=>0 [[.,[[[.,.],.],.]],.]=>0 [[[.,.],[.,[.,.]]],.]=>1 [[[.,.],[[.,.],.]],.]=>0 [[[.,[.,.]],[.,.]],.]=>0 [[[[.,.],.],[.,.]],.]=>0 [[[.,[.,[.,.]]],.],.]=>1 [[[.,[[.,.],.]],.],.]=>0 [[[[.,.],[.,.]],.],.]=>0 [[[[.,[.,.]],.],.],.]=>0 [[[[[.,.],.],.],.],.]=>0 [.,[.,[.,[.,[.,[.,.]]]]]]=>4 [.,[.,[.,[.,[[.,.],.]]]]]=>3 [.,[.,[.,[[.,.],[.,.]]]]]=>3 [.,[.,[.,[[.,[.,.]],.]]]]=>2 [.,[.,[.,[[[.,.],.],.]]]]=>2 [.,[.,[[.,.],[.,[.,.]]]]]=>3 [.,[.,[[.,.],[[.,.],.]]]]=>2 [.,[.,[[.,[.,.]],[.,.]]]]=>2 [.,[.,[[[.,.],.],[.,.]]]]=>2 [.,[.,[[.,[.,[.,.]]],.]]]=>2 [.,[.,[[.,[[.,.],.]],.]]]=>1 [.,[.,[[[.,.],[.,.]],.]]]=>1 [.,[.,[[[.,[.,.]],.],.]]]=>1 [.,[.,[[[[.,.],.],.],.]]]=>1 [.,[[.,.],[.,[.,[.,.]]]]]=>3 [.,[[.,.],[.,[[.,.],.]]]]=>2 [.,[[.,.],[[.,.],[.,.]]]]=>2 [.,[[.,.],[[.,[.,.]],.]]]=>1 [.,[[.,.],[[[.,.],.],.]]]=>1 [.,[[.,[.,.]],[.,[.,.]]]]=>2 [.,[[.,[.,.]],[[.,.],.]]]=>1 [.,[[[.,.],.],[.,[.,.]]]]=>2 [.,[[[.,.],.],[[.,.],.]]]=>1 [.,[[.,[.,[.,.]]],[.,.]]]=>2 [.,[[.,[[.,.],.]],[.,.]]]=>1 [.,[[[.,.],[.,.]],[.,.]]]=>1 [.,[[[.,[.,.]],.],[.,.]]]=>1 [.,[[[[.,.],.],.],[.,.]]]=>1 [.,[[.,[.,[.,[.,.]]]],.]]=>2 [.,[[.,[.,[[.,.],.]]],.]]=>1 [.,[[.,[[.,.],[.,.]]],.]]=>1 [.,[[.,[[.,[.,.]],.]],.]]=>0 [.,[[.,[[[.,.],.],.]],.]]=>0 [.,[[[.,.],[.,[.,.]]],.]]=>1 [.,[[[.,.],[[.,.],.]],.]]=>0 [.,[[[.,[.,.]],[.,.]],.]]=>0 [.,[[[[.,.],.],[.,.]],.]]=>0 [.,[[[.,[.,[.,.]]],.],.]]=>1 [.,[[[.,[[.,.],.]],.],.]]=>0 [.,[[[[.,.],[.,.]],.],.]]=>0 [.,[[[[.,[.,.]],.],.],.]]=>0 [.,[[[[[.,.],.],.],.],.]]=>0 [[.,.],[.,[.,[.,[.,.]]]]]=>3 [[.,.],[.,[.,[[.,.],.]]]]=>2 [[.,.],[.,[[.,.],[.,.]]]]=>2 [[.,.],[.,[[.,[.,.]],.]]]=>1 [[.,.],[.,[[[.,.],.],.]]]=>1 [[.,.],[[.,.],[.,[.,.]]]]=>2 [[.,.],[[.,.],[[.,.],.]]]=>1 [[.,.],[[.,[.,.]],[.,.]]]=>1 [[.,.],[[[.,.],.],[.,.]]]=>1 [[.,.],[[.,[.,[.,.]]],.]]=>1 [[.,.],[[.,[[.,.],.]],.]]=>0 [[.,.],[[[.,.],[.,.]],.]]=>0 [[.,.],[[[.,[.,.]],.],.]]=>0 [[.,.],[[[[.,.],.],.],.]]=>0 [[.,[.,.]],[.,[.,[.,.]]]]=>2 [[.,[.,.]],[.,[[.,.],.]]]=>1 [[.,[.,.]],[[.,.],[.,.]]]=>1 [[.,[.,.]],[[.,[.,.]],.]]=>0 [[.,[.,.]],[[[.,.],.],.]]=>0 [[[.,.],.],[.,[.,[.,.]]]]=>2 [[[.,.],.],[.,[[.,.],.]]]=>1 [[[.,.],.],[[.,.],[.,.]]]=>1 [[[.,.],.],[[.,[.,.]],.]]=>0 [[[.,.],.],[[[.,.],.],.]]=>0 [[.,[.,[.,.]]],[.,[.,.]]]=>2 [[.,[.,[.,.]]],[[.,.],.]]=>1 [[.,[[.,.],.]],[.,[.,.]]]=>1 [[.,[[.,.],.]],[[.,.],.]]=>0 [[[.,.],[.,.]],[.,[.,.]]]=>1 [[[.,.],[.,.]],[[.,.],.]]=>0 [[[.,[.,.]],.],[.,[.,.]]]=>1 [[[.,[.,.]],.],[[.,.],.]]=>0 [[[[.,.],.],.],[.,[.,.]]]=>1 [[[[.,.],.],.],[[.,.],.]]=>0 [[.,[.,[.,[.,.]]]],[.,.]]=>2 [[.,[.,[[.,.],.]]],[.,.]]=>1 [[.,[[.,.],[.,.]]],[.,.]]=>1 [[.,[[.,[.,.]],.]],[.,.]]=>0 [[.,[[[.,.],.],.]],[.,.]]=>0 [[[.,.],[.,[.,.]]],[.,.]]=>1 [[[.,.],[[.,.],.]],[.,.]]=>0 [[[.,[.,.]],[.,.]],[.,.]]=>0 [[[[.,.],.],[.,.]],[.,.]]=>0 [[[.,[.,[.,.]]],.],[.,.]]=>1 [[[.,[[.,.],.]],.],[.,.]]=>0 [[[[.,.],[.,.]],.],[.,.]]=>0 [[[[.,[.,.]],.],.],[.,.]]=>0 [[[[[.,.],.],.],.],[.,.]]=>0 [[.,[.,[.,[.,[.,.]]]]],.]=>3 [[.,[.,[.,[[.,.],.]]]],.]=>2 [[.,[.,[[.,.],[.,.]]]],.]=>2 [[.,[.,[[.,[.,.]],.]]],.]=>1 [[.,[.,[[[.,.],.],.]]],.]=>1 [[.,[[.,.],[.,[.,.]]]],.]=>2 [[.,[[.,.],[[.,.],.]]],.]=>1 [[.,[[.,[.,.]],[.,.]]],.]=>1 [[.,[[[.,.],.],[.,.]]],.]=>1 [[.,[[.,[.,[.,.]]],.]],.]=>1 [[.,[[.,[[.,.],.]],.]],.]=>0 [[.,[[[.,.],[.,.]],.]],.]=>0 [[.,[[[.,[.,.]],.],.]],.]=>0 [[.,[[[[.,.],.],.],.]],.]=>0 [[[.,.],[.,[.,[.,.]]]],.]=>2 [[[.,.],[.,[[.,.],.]]],.]=>1 [[[.,.],[[.,.],[.,.]]],.]=>1 [[[.,.],[[.,[.,.]],.]],.]=>0 [[[.,.],[[[.,.],.],.]],.]=>0 [[[.,[.,.]],[.,[.,.]]],.]=>1 [[[.,[.,.]],[[.,.],.]],.]=>0 [[[[.,.],.],[.,[.,.]]],.]=>1 [[[[.,.],.],[[.,.],.]],.]=>0 [[[.,[.,[.,.]]],[.,.]],.]=>1 [[[.,[[.,.],.]],[.,.]],.]=>0 [[[[.,.],[.,.]],[.,.]],.]=>0 [[[[.,[.,.]],.],[.,.]],.]=>0 [[[[[.,.],.],.],[.,.]],.]=>0 [[[.,[.,[.,[.,.]]]],.],.]=>2 [[[.,[.,[[.,.],.]]],.],.]=>1 [[[.,[[.,.],[.,.]]],.],.]=>1 [[[.,[[.,[.,.]],.]],.],.]=>0 [[[.,[[[.,.],.],.]],.],.]=>0 [[[[.,.],[.,[.,.]]],.],.]=>1 [[[[.,.],[[.,.],.]],.],.]=>0 [[[[.,[.,.]],[.,.]],.],.]=>0 [[[[[.,.],.],[.,.]],.],.]=>0 [[[[.,[.,[.,.]]],.],.],.]=>1 [[[[.,[[.,.],.]],.],.],.]=>0 [[[[[.,.],[.,.]],.],.],.]=>0 [[[[[.,[.,.]],.],.],.],.]=>0 [[[[[[.,.],.],.],.],.],.]=>0 [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>5 [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>4 [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>4 [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>3 [.,[.,[.,[.,[[[.,.],.],.]]]]]=>3 [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>4 [.,[.,[.,[[.,.],[[.,.],.]]]]]=>3 [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>3 [.,[.,[.,[[[.,.],.],[.,.]]]]]=>3 [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>3 [.,[.,[.,[[.,[[.,.],.]],.]]]]=>2 [.,[.,[.,[[[.,.],[.,.]],.]]]]=>2 [.,[.,[.,[[[.,[.,.]],.],.]]]]=>2 [.,[.,[.,[[[[.,.],.],.],.]]]]=>2 [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>4 [.,[.,[[.,.],[.,[[.,.],.]]]]]=>3 [.,[.,[[.,.],[[.,.],[.,.]]]]]=>3 [.,[.,[[.,.],[[.,[.,.]],.]]]]=>2 [.,[.,[[.,.],[[[.,.],.],.]]]]=>2 [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>3 [.,[.,[[.,[.,.]],[[.,.],.]]]]=>2 [.,[.,[[[.,.],.],[.,[.,.]]]]]=>3 [.,[.,[[[.,.],.],[[.,.],.]]]]=>2 [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>3 [.,[.,[[.,[[.,.],.]],[.,.]]]]=>2 [.,[.,[[[.,.],[.,.]],[.,.]]]]=>2 [.,[.,[[[.,[.,.]],.],[.,.]]]]=>2 [.,[.,[[[[.,.],.],.],[.,.]]]]=>2 [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>3 [.,[.,[[.,[.,[[.,.],.]]],.]]]=>2 [.,[.,[[.,[[.,.],[.,.]]],.]]]=>2 [.,[.,[[.,[[.,[.,.]],.]],.]]]=>1 [.,[.,[[.,[[[.,.],.],.]],.]]]=>1 [.,[.,[[[.,.],[.,[.,.]]],.]]]=>2 [.,[.,[[[.,.],[[.,.],.]],.]]]=>1 [.,[.,[[[.,[.,.]],[.,.]],.]]]=>1 [.,[.,[[[[.,.],.],[.,.]],.]]]=>1 [.,[.,[[[.,[.,[.,.]]],.],.]]]=>2 [.,[.,[[[.,[[.,.],.]],.],.]]]=>1 [.,[.,[[[[.,.],[.,.]],.],.]]]=>1 [.,[.,[[[[.,[.,.]],.],.],.]]]=>1 [.,[.,[[[[[.,.],.],.],.],.]]]=>1 [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>4 [.,[[.,.],[.,[.,[[.,.],.]]]]]=>3 [.,[[.,.],[.,[[.,.],[.,.]]]]]=>3 [.,[[.,.],[.,[[.,[.,.]],.]]]]=>2 [.,[[.,.],[.,[[[.,.],.],.]]]]=>2 [.,[[.,.],[[.,.],[.,[.,.]]]]]=>3 [.,[[.,.],[[.,.],[[.,.],.]]]]=>2 [.,[[.,.],[[.,[.,.]],[.,.]]]]=>2 [.,[[.,.],[[[.,.],.],[.,.]]]]=>2 [.,[[.,.],[[.,[.,[.,.]]],.]]]=>2 [.,[[.,.],[[.,[[.,.],.]],.]]]=>1 [.,[[.,.],[[[.,.],[.,.]],.]]]=>1 [.,[[.,.],[[[.,[.,.]],.],.]]]=>1 [.,[[.,.],[[[[.,.],.],.],.]]]=>1 [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>3 [.,[[.,[.,.]],[.,[[.,.],.]]]]=>2 [.,[[.,[.,.]],[[.,.],[.,.]]]]=>2 [.,[[.,[.,.]],[[.,[.,.]],.]]]=>1 [.,[[.,[.,.]],[[[.,.],.],.]]]=>1 [.,[[[.,.],.],[.,[.,[.,.]]]]]=>3 [.,[[[.,.],.],[.,[[.,.],.]]]]=>2 [.,[[[.,.],.],[[.,.],[.,.]]]]=>2 [.,[[[.,.],.],[[.,[.,.]],.]]]=>1 [.,[[[.,.],.],[[[.,.],.],.]]]=>1 [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>3 [.,[[.,[.,[.,.]]],[[.,.],.]]]=>2 [.,[[.,[[.,.],.]],[.,[.,.]]]]=>2 [.,[[.,[[.,.],.]],[[.,.],.]]]=>1 [.,[[[.,.],[.,.]],[.,[.,.]]]]=>2 [.,[[[.,.],[.,.]],[[.,.],.]]]=>1 [.,[[[.,[.,.]],.],[.,[.,.]]]]=>2 [.,[[[.,[.,.]],.],[[.,.],.]]]=>1 [.,[[[[.,.],.],.],[.,[.,.]]]]=>2 [.,[[[[.,.],.],.],[[.,.],.]]]=>1 [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>3 [.,[[.,[.,[[.,.],.]]],[.,.]]]=>2 [.,[[.,[[.,.],[.,.]]],[.,.]]]=>2 [.,[[.,[[.,[.,.]],.]],[.,.]]]=>1 [.,[[.,[[[.,.],.],.]],[.,.]]]=>1 [.,[[[.,.],[.,[.,.]]],[.,.]]]=>2 [.,[[[.,.],[[.,.],.]],[.,.]]]=>1 [.,[[[.,[.,.]],[.,.]],[.,.]]]=>1 [.,[[[[.,.],.],[.,.]],[.,.]]]=>1 [.,[[[.,[.,[.,.]]],.],[.,.]]]=>2 [.,[[[.,[[.,.],.]],.],[.,.]]]=>1 [.,[[[[.,.],[.,.]],.],[.,.]]]=>1 [.,[[[[.,[.,.]],.],.],[.,.]]]=>1 [.,[[[[[.,.],.],.],.],[.,.]]]=>1 [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>3 [.,[[.,[.,[.,[[.,.],.]]]],.]]=>2 [.,[[.,[.,[[.,.],[.,.]]]],.]]=>2 [.,[[.,[.,[[.,[.,.]],.]]],.]]=>1 [.,[[.,[.,[[[.,.],.],.]]],.]]=>1 [.,[[.,[[.,.],[.,[.,.]]]],.]]=>2 [.,[[.,[[.,.],[[.,.],.]]],.]]=>1 [.,[[.,[[.,[.,.]],[.,.]]],.]]=>1 [.,[[.,[[[.,.],.],[.,.]]],.]]=>1 [.,[[.,[[.,[.,[.,.]]],.]],.]]=>1 [.,[[.,[[.,[[.,.],.]],.]],.]]=>0 [.,[[.,[[[.,.],[.,.]],.]],.]]=>0 [.,[[.,[[[.,[.,.]],.],.]],.]]=>0 [.,[[.,[[[[.,.],.],.],.]],.]]=>0 [.,[[[.,.],[.,[.,[.,.]]]],.]]=>2 [.,[[[.,.],[.,[[.,.],.]]],.]]=>1 [.,[[[.,.],[[.,.],[.,.]]],.]]=>1 [.,[[[.,.],[[.,[.,.]],.]],.]]=>0 [.,[[[.,.],[[[.,.],.],.]],.]]=>0 [.,[[[.,[.,.]],[.,[.,.]]],.]]=>1 [.,[[[.,[.,.]],[[.,.],.]],.]]=>0 [.,[[[[.,.],.],[.,[.,.]]],.]]=>1 [.,[[[[.,.],.],[[.,.],.]],.]]=>0 [.,[[[.,[.,[.,.]]],[.,.]],.]]=>1 [.,[[[.,[[.,.],.]],[.,.]],.]]=>0 [.,[[[[.,.],[.,.]],[.,.]],.]]=>0 [.,[[[[.,[.,.]],.],[.,.]],.]]=>0 [.,[[[[[.,.],.],.],[.,.]],.]]=>0 [.,[[[.,[.,[.,[.,.]]]],.],.]]=>2 [.,[[[.,[.,[[.,.],.]]],.],.]]=>1 [.,[[[.,[[.,.],[.,.]]],.],.]]=>1 [.,[[[.,[[.,[.,.]],.]],.],.]]=>0 [.,[[[.,[[[.,.],.],.]],.],.]]=>0 [.,[[[[.,.],[.,[.,.]]],.],.]]=>1 [.,[[[[.,.],[[.,.],.]],.],.]]=>0 [.,[[[[.,[.,.]],[.,.]],.],.]]=>0 [.,[[[[[.,.],.],[.,.]],.],.]]=>0 [.,[[[[.,[.,[.,.]]],.],.],.]]=>1 [.,[[[[.,[[.,.],.]],.],.],.]]=>0 [.,[[[[[.,.],[.,.]],.],.],.]]=>0 [.,[[[[[.,[.,.]],.],.],.],.]]=>0 [.,[[[[[[.,.],.],.],.],.],.]]=>0 [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>4 [[.,.],[.,[.,[.,[[.,.],.]]]]]=>3 [[.,.],[.,[.,[[.,.],[.,.]]]]]=>3 [[.,.],[.,[.,[[.,[.,.]],.]]]]=>2 [[.,.],[.,[.,[[[.,.],.],.]]]]=>2 [[.,.],[.,[[.,.],[.,[.,.]]]]]=>3 [[.,.],[.,[[.,.],[[.,.],.]]]]=>2 [[.,.],[.,[[.,[.,.]],[.,.]]]]=>2 [[.,.],[.,[[[.,.],.],[.,.]]]]=>2 [[.,.],[.,[[.,[.,[.,.]]],.]]]=>2 [[.,.],[.,[[.,[[.,.],.]],.]]]=>1 [[.,.],[.,[[[.,.],[.,.]],.]]]=>1 [[.,.],[.,[[[.,[.,.]],.],.]]]=>1 [[.,.],[.,[[[[.,.],.],.],.]]]=>1 [[.,.],[[.,.],[.,[.,[.,.]]]]]=>3 [[.,.],[[.,.],[.,[[.,.],.]]]]=>2 [[.,.],[[.,.],[[.,.],[.,.]]]]=>2 [[.,.],[[.,.],[[.,[.,.]],.]]]=>1 [[.,.],[[.,.],[[[.,.],.],.]]]=>1 [[.,.],[[.,[.,.]],[.,[.,.]]]]=>2 [[.,.],[[.,[.,.]],[[.,.],.]]]=>1 [[.,.],[[[.,.],.],[.,[.,.]]]]=>2 [[.,.],[[[.,.],.],[[.,.],.]]]=>1 [[.,.],[[.,[.,[.,.]]],[.,.]]]=>2 [[.,.],[[.,[[.,.],.]],[.,.]]]=>1 [[.,.],[[[.,.],[.,.]],[.,.]]]=>1 [[.,.],[[[.,[.,.]],.],[.,.]]]=>1 [[.,.],[[[[.,.],.],.],[.,.]]]=>1 [[.,.],[[.,[.,[.,[.,.]]]],.]]=>2 [[.,.],[[.,[.,[[.,.],.]]],.]]=>1 [[.,.],[[.,[[.,.],[.,.]]],.]]=>1 [[.,.],[[.,[[.,[.,.]],.]],.]]=>0 [[.,.],[[.,[[[.,.],.],.]],.]]=>0 [[.,.],[[[.,.],[.,[.,.]]],.]]=>1 [[.,.],[[[.,.],[[.,.],.]],.]]=>0 [[.,.],[[[.,[.,.]],[.,.]],.]]=>0 [[.,.],[[[[.,.],.],[.,.]],.]]=>0 [[.,.],[[[.,[.,[.,.]]],.],.]]=>1 [[.,.],[[[.,[[.,.],.]],.],.]]=>0 [[.,.],[[[[.,.],[.,.]],.],.]]=>0 [[.,.],[[[[.,[.,.]],.],.],.]]=>0 [[.,.],[[[[[.,.],.],.],.],.]]=>0 [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>3 [[.,[.,.]],[.,[.,[[.,.],.]]]]=>2 [[.,[.,.]],[.,[[.,.],[.,.]]]]=>2 [[.,[.,.]],[.,[[.,[.,.]],.]]]=>1 [[.,[.,.]],[.,[[[.,.],.],.]]]=>1 [[.,[.,.]],[[.,.],[.,[.,.]]]]=>2 [[.,[.,.]],[[.,.],[[.,.],.]]]=>1 [[.,[.,.]],[[.,[.,.]],[.,.]]]=>1 [[.,[.,.]],[[[.,.],.],[.,.]]]=>1 [[.,[.,.]],[[.,[.,[.,.]]],.]]=>1 [[.,[.,.]],[[.,[[.,.],.]],.]]=>0 [[.,[.,.]],[[[.,.],[.,.]],.]]=>0 [[.,[.,.]],[[[.,[.,.]],.],.]]=>0 [[.,[.,.]],[[[[.,.],.],.],.]]=>0 [[[.,.],.],[.,[.,[.,[.,.]]]]]=>3 [[[.,.],.],[.,[.,[[.,.],.]]]]=>2 [[[.,.],.],[.,[[.,.],[.,.]]]]=>2 [[[.,.],.],[.,[[.,[.,.]],.]]]=>1 [[[.,.],.],[.,[[[.,.],.],.]]]=>1 [[[.,.],.],[[.,.],[.,[.,.]]]]=>2 [[[.,.],.],[[.,.],[[.,.],.]]]=>1 [[[.,.],.],[[.,[.,.]],[.,.]]]=>1 [[[.,.],.],[[[.,.],.],[.,.]]]=>1 [[[.,.],.],[[.,[.,[.,.]]],.]]=>1 [[[.,.],.],[[.,[[.,.],.]],.]]=>0 [[[.,.],.],[[[.,.],[.,.]],.]]=>0 [[[.,.],.],[[[.,[.,.]],.],.]]=>0 [[[.,.],.],[[[[.,.],.],.],.]]=>0 [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>3 [[.,[.,[.,.]]],[.,[[.,.],.]]]=>2 [[.,[.,[.,.]]],[[.,.],[.,.]]]=>2 [[.,[.,[.,.]]],[[.,[.,.]],.]]=>1 [[.,[.,[.,.]]],[[[.,.],.],.]]=>1 [[.,[[.,.],.]],[.,[.,[.,.]]]]=>2 [[.,[[.,.],.]],[.,[[.,.],.]]]=>1 [[.,[[.,.],.]],[[.,.],[.,.]]]=>1 [[.,[[.,.],.]],[[.,[.,.]],.]]=>0 [[.,[[.,.],.]],[[[.,.],.],.]]=>0 [[[.,.],[.,.]],[.,[.,[.,.]]]]=>2 [[[.,.],[.,.]],[.,[[.,.],.]]]=>1 [[[.,.],[.,.]],[[.,.],[.,.]]]=>1 [[[.,.],[.,.]],[[.,[.,.]],.]]=>0 [[[.,.],[.,.]],[[[.,.],.],.]]=>0 [[[.,[.,.]],.],[.,[.,[.,.]]]]=>2 [[[.,[.,.]],.],[.,[[.,.],.]]]=>1 [[[.,[.,.]],.],[[.,.],[.,.]]]=>1 [[[.,[.,.]],.],[[.,[.,.]],.]]=>0 [[[.,[.,.]],.],[[[.,.],.],.]]=>0 [[[[.,.],.],.],[.,[.,[.,.]]]]=>2 [[[[.,.],.],.],[.,[[.,.],.]]]=>1 [[[[.,.],.],.],[[.,.],[.,.]]]=>1 [[[[.,.],.],.],[[.,[.,.]],.]]=>0 [[[[.,.],.],.],[[[.,.],.],.]]=>0 [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>3 [[.,[.,[.,[.,.]]]],[[.,.],.]]=>2 [[.,[.,[[.,.],.]]],[.,[.,.]]]=>2 [[.,[.,[[.,.],.]]],[[.,.],.]]=>1 [[.,[[.,.],[.,.]]],[.,[.,.]]]=>2 [[.,[[.,.],[.,.]]],[[.,.],.]]=>1 [[.,[[.,[.,.]],.]],[.,[.,.]]]=>1 [[.,[[.,[.,.]],.]],[[.,.],.]]=>0 [[.,[[[.,.],.],.]],[.,[.,.]]]=>1 [[.,[[[.,.],.],.]],[[.,.],.]]=>0 [[[.,.],[.,[.,.]]],[.,[.,.]]]=>2 [[[.,.],[.,[.,.]]],[[.,.],.]]=>1 [[[.,.],[[.,.],.]],[.,[.,.]]]=>1 [[[.,.],[[.,.],.]],[[.,.],.]]=>0 [[[.,[.,.]],[.,.]],[.,[.,.]]]=>1 [[[.,[.,.]],[.,.]],[[.,.],.]]=>0 [[[[.,.],.],[.,.]],[.,[.,.]]]=>1 [[[[.,.],.],[.,.]],[[.,.],.]]=>0 [[[.,[.,[.,.]]],.],[.,[.,.]]]=>2 [[[.,[.,[.,.]]],.],[[.,.],.]]=>1 [[[.,[[.,.],.]],.],[.,[.,.]]]=>1 [[[.,[[.,.],.]],.],[[.,.],.]]=>0 [[[[.,.],[.,.]],.],[.,[.,.]]]=>1 [[[[.,.],[.,.]],.],[[.,.],.]]=>0 [[[[.,[.,.]],.],.],[.,[.,.]]]=>1 [[[[.,[.,.]],.],.],[[.,.],.]]=>0 [[[[[.,.],.],.],.],[.,[.,.]]]=>1 [[[[[.,.],.],.],.],[[.,.],.]]=>0 [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3 [[.,[.,[.,[[.,.],.]]]],[.,.]]=>2 [[.,[.,[[.,.],[.,.]]]],[.,.]]=>2 [[.,[.,[[.,[.,.]],.]]],[.,.]]=>1 [[.,[.,[[[.,.],.],.]]],[.,.]]=>1 [[.,[[.,.],[.,[.,.]]]],[.,.]]=>2 [[.,[[.,.],[[.,.],.]]],[.,.]]=>1 [[.,[[.,[.,.]],[.,.]]],[.,.]]=>1 [[.,[[[.,.],.],[.,.]]],[.,.]]=>1 [[.,[[.,[.,[.,.]]],.]],[.,.]]=>1 [[.,[[.,[[.,.],.]],.]],[.,.]]=>0 [[.,[[[.,.],[.,.]],.]],[.,.]]=>0 [[.,[[[.,[.,.]],.],.]],[.,.]]=>0 [[.,[[[[.,.],.],.],.]],[.,.]]=>0 [[[.,.],[.,[.,[.,.]]]],[.,.]]=>2 [[[.,.],[.,[[.,.],.]]],[.,.]]=>1 [[[.,.],[[.,.],[.,.]]],[.,.]]=>1 [[[.,.],[[.,[.,.]],.]],[.,.]]=>0 [[[.,.],[[[.,.],.],.]],[.,.]]=>0 [[[.,[.,.]],[.,[.,.]]],[.,.]]=>1 [[[.,[.,.]],[[.,.],.]],[.,.]]=>0 [[[[.,.],.],[.,[.,.]]],[.,.]]=>1 [[[[.,.],.],[[.,.],.]],[.,.]]=>0 [[[.,[.,[.,.]]],[.,.]],[.,.]]=>1 [[[.,[[.,.],.]],[.,.]],[.,.]]=>0 [[[[.,.],[.,.]],[.,.]],[.,.]]=>0 [[[[.,[.,.]],.],[.,.]],[.,.]]=>0 [[[[[.,.],.],.],[.,.]],[.,.]]=>0 [[[.,[.,[.,[.,.]]]],.],[.,.]]=>2 [[[.,[.,[[.,.],.]]],.],[.,.]]=>1 [[[.,[[.,.],[.,.]]],.],[.,.]]=>1 [[[.,[[.,[.,.]],.]],.],[.,.]]=>0 [[[.,[[[.,.],.],.]],.],[.,.]]=>0 [[[[.,.],[.,[.,.]]],.],[.,.]]=>1 [[[[.,.],[[.,.],.]],.],[.,.]]=>0 [[[[.,[.,.]],[.,.]],.],[.,.]]=>0 [[[[[.,.],.],[.,.]],.],[.,.]]=>0 [[[[.,[.,[.,.]]],.],.],[.,.]]=>1 [[[[.,[[.,.],.]],.],.],[.,.]]=>0 [[[[[.,.],[.,.]],.],.],[.,.]]=>0 [[[[[.,[.,.]],.],.],.],[.,.]]=>0 [[[[[[.,.],.],.],.],.],[.,.]]=>0 [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>4 [[.,[.,[.,[.,[[.,.],.]]]]],.]=>3 [[.,[.,[.,[[.,.],[.,.]]]]],.]=>3 [[.,[.,[.,[[.,[.,.]],.]]]],.]=>2 [[.,[.,[.,[[[.,.],.],.]]]],.]=>2 [[.,[.,[[.,.],[.,[.,.]]]]],.]=>3 [[.,[.,[[.,.],[[.,.],.]]]],.]=>2 [[.,[.,[[.,[.,.]],[.,.]]]],.]=>2 [[.,[.,[[[.,.],.],[.,.]]]],.]=>2 [[.,[.,[[.,[.,[.,.]]],.]]],.]=>2 [[.,[.,[[.,[[.,.],.]],.]]],.]=>1 [[.,[.,[[[.,.],[.,.]],.]]],.]=>1 [[.,[.,[[[.,[.,.]],.],.]]],.]=>1 [[.,[.,[[[[.,.],.],.],.]]],.]=>1 [[.,[[.,.],[.,[.,[.,.]]]]],.]=>3 [[.,[[.,.],[.,[[.,.],.]]]],.]=>2 [[.,[[.,.],[[.,.],[.,.]]]],.]=>2 [[.,[[.,.],[[.,[.,.]],.]]],.]=>1 [[.,[[.,.],[[[.,.],.],.]]],.]=>1 [[.,[[.,[.,.]],[.,[.,.]]]],.]=>2 [[.,[[.,[.,.]],[[.,.],.]]],.]=>1 [[.,[[[.,.],.],[.,[.,.]]]],.]=>2 [[.,[[[.,.],.],[[.,.],.]]],.]=>1 [[.,[[.,[.,[.,.]]],[.,.]]],.]=>2 [[.,[[.,[[.,.],.]],[.,.]]],.]=>1 [[.,[[[.,.],[.,.]],[.,.]]],.]=>1 [[.,[[[.,[.,.]],.],[.,.]]],.]=>1 [[.,[[[[.,.],.],.],[.,.]]],.]=>1 [[.,[[.,[.,[.,[.,.]]]],.]],.]=>2 [[.,[[.,[.,[[.,.],.]]],.]],.]=>1 [[.,[[.,[[.,.],[.,.]]],.]],.]=>1 [[.,[[.,[[.,[.,.]],.]],.]],.]=>0 [[.,[[.,[[[.,.],.],.]],.]],.]=>0 [[.,[[[.,.],[.,[.,.]]],.]],.]=>1 [[.,[[[.,.],[[.,.],.]],.]],.]=>0 [[.,[[[.,[.,.]],[.,.]],.]],.]=>0 [[.,[[[[.,.],.],[.,.]],.]],.]=>0 [[.,[[[.,[.,[.,.]]],.],.]],.]=>1 [[.,[[[.,[[.,.],.]],.],.]],.]=>0 [[.,[[[[.,.],[.,.]],.],.]],.]=>0 [[.,[[[[.,[.,.]],.],.],.]],.]=>0 [[.,[[[[[.,.],.],.],.],.]],.]=>0 [[[.,.],[.,[.,[.,[.,.]]]]],.]=>3 [[[.,.],[.,[.,[[.,.],.]]]],.]=>2 [[[.,.],[.,[[.,.],[.,.]]]],.]=>2 [[[.,.],[.,[[.,[.,.]],.]]],.]=>1 [[[.,.],[.,[[[.,.],.],.]]],.]=>1 [[[.,.],[[.,.],[.,[.,.]]]],.]=>2 [[[.,.],[[.,.],[[.,.],.]]],.]=>1 [[[.,.],[[.,[.,.]],[.,.]]],.]=>1 [[[.,.],[[[.,.],.],[.,.]]],.]=>1 [[[.,.],[[.,[.,[.,.]]],.]],.]=>1 [[[.,.],[[.,[[.,.],.]],.]],.]=>0 [[[.,.],[[[.,.],[.,.]],.]],.]=>0 [[[.,.],[[[.,[.,.]],.],.]],.]=>0 [[[.,.],[[[[.,.],.],.],.]],.]=>0 [[[.,[.,.]],[.,[.,[.,.]]]],.]=>2 [[[.,[.,.]],[.,[[.,.],.]]],.]=>1 [[[.,[.,.]],[[.,.],[.,.]]],.]=>1 [[[.,[.,.]],[[.,[.,.]],.]],.]=>0 [[[.,[.,.]],[[[.,.],.],.]],.]=>0 [[[[.,.],.],[.,[.,[.,.]]]],.]=>2 [[[[.,.],.],[.,[[.,.],.]]],.]=>1 [[[[.,.],.],[[.,.],[.,.]]],.]=>1 [[[[.,.],.],[[.,[.,.]],.]],.]=>0 [[[[.,.],.],[[[.,.],.],.]],.]=>0 [[[.,[.,[.,.]]],[.,[.,.]]],.]=>2 [[[.,[.,[.,.]]],[[.,.],.]],.]=>1 [[[.,[[.,.],.]],[.,[.,.]]],.]=>1 [[[.,[[.,.],.]],[[.,.],.]],.]=>0 [[[[.,.],[.,.]],[.,[.,.]]],.]=>1 [[[[.,.],[.,.]],[[.,.],.]],.]=>0 [[[[.,[.,.]],.],[.,[.,.]]],.]=>1 [[[[.,[.,.]],.],[[.,.],.]],.]=>0 [[[[[.,.],.],.],[.,[.,.]]],.]=>1 [[[[[.,.],.],.],[[.,.],.]],.]=>0 [[[.,[.,[.,[.,.]]]],[.,.]],.]=>2 [[[.,[.,[[.,.],.]]],[.,.]],.]=>1 [[[.,[[.,.],[.,.]]],[.,.]],.]=>1 [[[.,[[.,[.,.]],.]],[.,.]],.]=>0 [[[.,[[[.,.],.],.]],[.,.]],.]=>0 [[[[.,.],[.,[.,.]]],[.,.]],.]=>1 [[[[.,.],[[.,.],.]],[.,.]],.]=>0 [[[[.,[.,.]],[.,.]],[.,.]],.]=>0 [[[[[.,.],.],[.,.]],[.,.]],.]=>0 [[[[.,[.,[.,.]]],.],[.,.]],.]=>1 [[[[.,[[.,.],.]],.],[.,.]],.]=>0 [[[[[.,.],[.,.]],.],[.,.]],.]=>0 [[[[[.,[.,.]],.],.],[.,.]],.]=>0 [[[[[[.,.],.],.],.],[.,.]],.]=>0 [[[.,[.,[.,[.,[.,.]]]]],.],.]=>3 [[[.,[.,[.,[[.,.],.]]]],.],.]=>2 [[[.,[.,[[.,.],[.,.]]]],.],.]=>2 [[[.,[.,[[.,[.,.]],.]]],.],.]=>1 [[[.,[.,[[[.,.],.],.]]],.],.]=>1 [[[.,[[.,.],[.,[.,.]]]],.],.]=>2 [[[.,[[.,.],[[.,.],.]]],.],.]=>1 [[[.,[[.,[.,.]],[.,.]]],.],.]=>1 [[[.,[[[.,.],.],[.,.]]],.],.]=>1 [[[.,[[.,[.,[.,.]]],.]],.],.]=>1 [[[.,[[.,[[.,.],.]],.]],.],.]=>0 [[[.,[[[.,.],[.,.]],.]],.],.]=>0 [[[.,[[[.,[.,.]],.],.]],.],.]=>0 [[[.,[[[[.,.],.],.],.]],.],.]=>0 [[[[.,.],[.,[.,[.,.]]]],.],.]=>2 [[[[.,.],[.,[[.,.],.]]],.],.]=>1 [[[[.,.],[[.,.],[.,.]]],.],.]=>1 [[[[.,.],[[.,[.,.]],.]],.],.]=>0 [[[[.,.],[[[.,.],.],.]],.],.]=>0 [[[[.,[.,.]],[.,[.,.]]],.],.]=>1 [[[[.,[.,.]],[[.,.],.]],.],.]=>0 [[[[[.,.],.],[.,[.,.]]],.],.]=>1 [[[[[.,.],.],[[.,.],.]],.],.]=>0 [[[[.,[.,[.,.]]],[.,.]],.],.]=>1 [[[[.,[[.,.],.]],[.,.]],.],.]=>0 [[[[[.,.],[.,.]],[.,.]],.],.]=>0 [[[[[.,[.,.]],.],[.,.]],.],.]=>0 [[[[[[.,.],.],.],[.,.]],.],.]=>0 [[[[.,[.,[.,[.,.]]]],.],.],.]=>2 [[[[.,[.,[[.,.],.]]],.],.],.]=>1 [[[[.,[[.,.],[.,.]]],.],.],.]=>1 [[[[.,[[.,[.,.]],.]],.],.],.]=>0 [[[[.,[[[.,.],.],.]],.],.],.]=>0 [[[[[.,.],[.,[.,.]]],.],.],.]=>1 [[[[[.,.],[[.,.],.]],.],.],.]=>0 [[[[[.,[.,.]],[.,.]],.],.],.]=>0 [[[[[[.,.],.],[.,.]],.],.],.]=>0 [[[[[.,[.,[.,.]]],.],.],.],.]=>1 [[[[[.,[[.,.],.]],.],.],.],.]=>0 [[[[[[.,.],[.,.]],.],.],.],.]=>0 [[[[[[.,[.,.]],.],.],.],.],.]=>0 [[[[[[[.,.],.],.],.],.],.],.]=>0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of occurrences of the contiguous pattern [.,[.,[.,.]]] in a binary tree.
oeis:A001006 counts binary trees avoiding this pattern.
References
[1] Donaghey, R., Shapiro, L. W. Motzkin numbers MathSciNet:0505544
[2] Rowland, E. S. Pattern avoidance in binary trees MathSciNet:2645188 arXiv:0809.0488
Code
(* in Mathematica *)
tree = {{{{}, {}}, {{}, {}}}, {{{}, {}}, {{}, {}}}};
Count[tree, {{___}, {{___}, {{___}, {___}}}}, {0, Infinity}]
Created
Jun 18, 2013 at 16:59 by Eric Rowland
Updated
Oct 17, 2015 at 11:05 by Christian Stump