Question Number 90727 by ~blr237~ last updated on 25/Apr/20
$$\underset{{a},{b}\geqslant\mathrm{1}} {\sum}\:\frac{\mathrm{1}}{\left({a}+{b}^{\mathrm{2}} \right)\left({a}+{b}^{\mathrm{2}} +\mathrm{1}\right)}\:\:\:\:\:\:{nature}\:{and}\:\:{sum}\:{value}\:\: \\ $$$$ \\ $$