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Posted by Nick on Monday, June 24, 2013 at 11:53am.

The sequence {an} satisfies a0=1,a1=213, and an=2an−1+an−2 for all n≥2. Let S=∑i=1 to infinity a[i-1]/(a[i]^2-a[i-1]^2) What is the value of 1/S

424

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