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a0=1,a1=219,an=an−1×an−22\Large a_0 = 1, a_1 = \sqrt[19]{2}, \\ \Large a_n = a_{n-1} \times a_{n-2} ^2 a0=1,a1=192,an=an−1×an−22
Consider a sequence defined recursively for n≥2 n\geq 2 n≥2 in the above manner.
What is the smallest positive integer value kkk such that the product a1a2⋯aka_{1}a_{2}\dotsm a_ka1a2⋯ak is an integer?
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