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2 cards from this section. Quick, good the night before a test.
List all valid parenthesizations for n = 1 (two numbers).
Think about the basic requirement for two numbers.
What is C(2)?
Use the formula C(n) for small n values.
What is the formula for C(n)?
Think about how smaller instances contribute to the current one.
True or False: The nth Catalan number represents valid parentheses strings.
Reflect on previous discussions about counting parenthetical arrangements.
How many valid combinations exist for n = 5 using the recurrence relation?
Break it down using smaller known values.
Prove that C(n) corresponds to valid pairs of parentheses using an example.
Construct examples for small n values to illustrate.
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