  A necklace or bracelet is \textit{colorful} if no pair of adjacent beads are
the same color. In addition, two necklaces are \textit{equivalent} if one
results from the other by permuting its colors, and two bracelets are
\textit{equivalent} if one results from the other by either permuting its
colors or reversing the order of the beads; a bracelet is thus a necklace that
can be turned over. This note counts the number $K(n)$ of non-equivalent
colorful necklaces and the number $K'(n)$ of colorful bracelets formed with
$n$-beads in at most three colors. Expressions obtained for $K'(n)$ simplify
expressions given by OEIS sequence A114438, while the expressions given for
$K(n)$ appear to be new and are not included in OEIS.
