Catalan numbers, Associahedron and operads. Advanced combinatory library classification systems use these. aka “Enumeration of the Binary Trees” (xx)xx (xxx)x x(xxx) xx(xx) x(xx)x (xx)(xx) ((xx)x)x (x(xx))x x(x(xx)) x((xx)x)

Catalan numbers, Associahedron and operads. Advanced combinatory library classification systems use these.

aka “Enumeration of the Binary Trees”

(xx)xx
(xxx)x
x(xxx)
xx(xx)
x(xx)x

(xx)(xx)
((xx)x)x
(x(xx))x
x(x(xx))
x((xx)x)

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