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x/y = (1^-4+2^-4+3^-4+...)/(1^-4+3^-4+5^-4+...)
x/y = (1^-4+3^-4+5^-4+...)+(2^-4+4^-4+6^-4+...))/(1^-4+3^-4+5^-4+...)
x/y = 1 + (2^-4 + 4^-4 + 6^-4 +...)/(1^-4 + 3^-4 + 5^-4 + ...)
x/y = 1 + 2^-4 (1^-4 + 2^-4 + 3^-4 + 4^-4 + ...)/(1^-4 + 3^-4 + 5^-4 + ...)
x/y = 1 + 1/16 (x/y)
(1 - 1/16) x/y = 1
(15/16) x/y = 1
x/y = 16/15
makes sense ?