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(1 (2 (3 (4 5))))   (1 (2 ((3 4) 5)))
(1 ((2 3) (4 5)))   (1 ((2 (3 4)) 5))
(1 (((2 3) 4) 5))   ((1 2) (3 (4 5)))
((1 2) ((3 4) 5))   ((1 (2 3)) (4 5))
((1 (2 (3 4))) 5)   ((1 ((2 3) 4)) 5)
(((1 2) 3) (4 5))   (((1 2) (3 4)) 5)
(((1 (2 3)) 4) 5)   ((((1 2) 3) 4) 5)

Four representations of the Catalan numbers
by Robert Dickau for Math Forum



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