A series involving three sums. Examples of convergent triple series include sum_(i = 1)^∞ sum_(j = 1)^∞ sum_(k = 1)^∞ 1/(i j k)^2 | = | 1/216 π^6 sum_(i = 1)^∞ sum_(j = 1)^∞ sum_(k = 1)^∞ 1/(2^i 2^j 2^k) | = | 1.
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