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Recursionmedium
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Let pn=∏i=1naip_n = \prod_{i=1}^n a_ipn​=∏i=1n​ai​, where the sequence aia_iai​ satisfies the recurrence ai=2ai−1a_i = 2a_{i-1}ai​=2ai−1​ with a1=3a_1 = 3a1​=3. Find the value of p3p_3p3​.