  The Huneke-Wiegand conjecture is a decades-long open question in commutative
algebra. Garc\'ia-S\'anchez and Leamer showed that a special case of this
conjecture concerning numerical semigroup rings $\Bbbk[\Gamma]$ can be answered
in the affirmative by locating certain arithmetic sequences within the
numerical semigroup $\Gamma$. In this paper, we use their approach to prove the
Huneke-Wiegand conjecture in the case where $\Gamma$ is generated by a
generalized arithmetic sequence and showcase how visualizations can be
leveraged to find the requisite arithmetic sequences.
