  We give a finite analogue of the well-known formula
$\mathrm{Li}_{\underbrace{1, \ldots, 1}_n}(t) = \frac{1}{n!}\mathrm{Li}_1(t)^n$
of multiple polylogarithms for any positive integer n by using the shuffle
relation of finite multiple polylogarithms of Ono-Yamamoto type. Unlike the
usual case, the terms regarded as error terms appear in this formula. As a
corollary, we obtain $"t \leftrightarrow 1 - t"$ type new functional equations
of finite multiple polylogarithms of Ono-Yamamoto type and Sakugawa-Seki type.
