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We prove an evaluation for the stuffle-regularised multiple $t$ value $t^{\ast,V}(\{\overline{1}\}^a, 1, \{\overline{1}\}^b) $ in terms of $ \log(2)$, $ \zeta(k) $ and $ \beta(k) $. This arises by evaluating the correspondinggenerating series using the Evans-Stanton/Ramanujan asymptotics of azero-balanced hypergeometric function $ {}_3F_2 $, and an evaluationestablished by Li in an alternative approach to Zagier's evaluation of $\zeta(\{2\}^a, 3, \{2\}^b) $. We end with some discussion and conjectures onpossible motivic applications.

On the evaluation of the alternating multiple $t$ value $t(\{\overline{1}\}^a, 1, \{\overline{1}\}^b)$