  A numerical semigroup $S$ is coated with odd elements (Coe-semigroup), if
$\left\{x-1, x+1\right\}\subseteq S$ for all odd element $x$ in $S$. In this
note, we will study this kind of numerical semigroups. In particular, we are
interested in the study of the Frobenius number, gender and embedding dimension
of a numerical semigroup of this type.
