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Question Number 55920 by ANTARES VY last updated on 06/Mar/19

$$\mathbf{Calculate}.$$$$\underset{\mathit{a}=1}{\sum ^{\mathrm{\infty }}}\underset{\mathit{b}=1}{\sum ^{\mathrm{\infty }}}\underset{\mathit{c}=1}{\sum ^{\mathrm{\infty }}}\frac{\mathit{a}\mathit{b}(3\mathit{a}+\mathit{c})}{4^{\mathit{a}+\mathit{b}+\mathit{c}}(\mathit{a}+\mathit{b})(\mathit{b}+\mathit{c})(\mathit{c}+\mathit{a})}.$$

Commented by mr W last updated on 06/Mar/19

$$\frac{1}{54}$$$$cansomeoneprove?$$

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