Is there a way to simplify the following generalised hypergeometric function evaluated at unit argument
$$ \, _4F_3\left(-n,3+n,\frac{2}{3},\frac{5}{3};2,-\frac{1}{3}-n,\frac{8}{3}+n;1\right) $$
with $n\geq0$ being an integer?
2026-04-01 22:41:04.1775083264
Generalised hypergeometric function $_4F_3$ at unit argument
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