Exercise: Complete parts (b) and (c) below for your team.
Let be the number of ways of parenthesizing a product of numbers.
Team binary rooted trees:
Let be the number of full, binary, rooted trees with leaves.
Team triangulated polygons:
Let be the number of ways of triangulating a polygon with sides.
(b) Find a recursive formula for . (That is, find a formula for in terms of .)
(c) Use your formula from (b) to determine and .