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Cn=k=1nCk1Cnk,C0=1 a) Show that Cn=(n3/24n) b) For a given integer n, find the Cn Catalan number i) Recursively, ii) Using dynamic programming Determine the working

Cn=k=1nCk1Cnk,C0=1 a) Show that Cn=(n3/24n) b) For a given integer n, find the Cn Catalan number i) Recursively, ii) Using dynamic programming Determine the working times and write their codes

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