Revisiting the Formula for the Ramanujan Constant of a Series

The main contribution of this paper is to propose a closed expression for the Ramanujan constant alternating series, based on Euler–Boole summation formula. Such an not present in literature. We also highlight only choice parameter formula proposed by Hardy series positive terms, so value obtained as agrees with other methods divergent series. Additionally, we derive closed-formula chosen, under natural interpretation integral term Euler–Maclaurin Finally, several examples