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Calculate the value of the series

Source: Brazil Undergrad MO - Galois-Noether 2018 #24

November 26, 2019
SummationBrazilian Undergrad MOsuperior algebra

Problem Statement

What is the value of the series ∑1≤l<m<n15l3m2n\sum_{1 \leq l <m<n} \frac{1}{5^l3^m2^n}
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