Let {a_n} (n = 1 to infinity) be the Fibonacci sequence a_1 = a_2 = 1, a_n

worde

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= a_(n-1) + a_(n-2) (n greater than? or equal to 2), phi the golden ratio (1+sqrt(5))/2. Find the sum of the series sum for n = 0 to infinity of (a_n * phi - a_(n+1))^2.
 
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