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Unsolved Challenge Functional Equation

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anemone

MHB POTW Director
Staff member
Feb 14, 2012
3,931
Given that $(x+1)f(x^2+7x+10)+\left(\dfrac{1-x}{4x}\right)f(x^2+11x+24)=\dfrac{100(x^2+4)}{x}$, find $f(2)+f(3)+\cdots+f(400)$.