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5 cards from this section. Quick, good the night before a test.
What does C(2) equal?
Think about how parentheses can be arranged for two pairs.
Define a valid parentheses string.
Consider how you ensure that every '(' is matched.
What does C(3) represent?
Recall the examples discussed in class.
Is the string '(()()())' valid?
Count the parentheses and check for matches.
Determine the number of valid parenthesis sequences for n = 4, and list them.
Use your understanding of valid sequences and recursive definitions.
Using the recurrence relation, calculate C(5) based on previous values.
Execute the summation for all k values from 0 to 4.
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