Hi,
just to point out that there is interesting effect if the
very first \smash. is simply replaced by an x
\hrule
$$
\hbox{$\left)\vbox to15pt{}\right.$}_{x} % or also _{\hbox{x}}
\hbox{$\left)\vbox to15pt{}\right.$}_{\smash.}
\hbox{$\left)\vbox to15pt{}\right.$}_{\smash.}
$$
\hrule
Jean-François