  In this note we study the flint hill series of the form \begin{align} \sum
\limits_{n=1}^{\infty}\frac{1}{(\sin^2n) n^3}\nonumber \end{align}via a certain
method. The method works essentially by erecting certain pillars sufficiently
close to the terms in the series and evaluating the series at those spots. This
allows us to relate the convergence and the divergence of the series to other
series that are somewhat tractable. In particular we show that the convergence
of the flint hill series relies very heavily on the condition that for any
small $\epsilon>0$ \begin{align} \bigg|\sum \limits_{i=0}^{\frac{n+1}{2}}\sum
\limits_{j=0}^{i}(-1)^{i-j}\binom{n}{2i+1} \binom{i}{j}\bigg|^{2s} \leq
|(\sin^2n)|n^{2s+2-\epsilon}\nonumber \end{align}for some $s\in \mathbb{N}$.
