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A Ramanujan-type formula involving the squares of odd zeta values isobtained. The crucial part in obtaining such a result is to conceive thecorrect analogue of the Eisenstein series involved in Ramanujan's formula for$\zeta(2m+1)$. The formula for $\zeta^{2}(2m+1)$ is then generalized in twodifferent directions, one, by considering the generalized divisor function$\sigma_z(n)$, and the other, by studying a more general analogue of theaforementioned Eisenstein series, consisting of one more parameter $N$. Anumber of important special cases are derived from the first generalization.For example, we obtain a series representation for$\zeta(1+\omega)\zeta(-1-\omega)$, where $\omega$ is a non-trivial zero of$\zeta(z)$. We also evaluate a series involving the modified Bessel function ofthe second kind in the form of a rational linear combination of $\zeta(4k-1)$and $\zeta(4k+1)$ for $k\in\mathbb{N}$.

A Ramanujan-type formula for $\zeta^{2}(2m+1)$ and its generalizations