  Let $R$ be a standard graded polynomial ring that is finitely generated over
a field, and let $I$ be a homogenous prime ideal of $R$. Bhatt, Blickle,
Lyubeznik, Singh, and Zhang examined the local cohomology of $R/I^t$, as $t$
grows arbitrarily large. Such rings are known as thickenings of $R/I$. We
consider $R = \mathbb{F}[X]$ where $\mathbb{F}$ is a field of characteristic 0,
$X$ is a $2 \times m$ matrix, and $I$ is the ideal generated by size two
minors. We give concrete constructions for the local cohomology modules of
thickenings of $R/I$. Bizarrely, these local cohomology modules can be
described using the Taylor series of natural log.
