  Our purpose with this paper is, in first place, to recast the space of
quiddity sequences corresponding to usual frieze patterns as a different type
of SET operad, and second to introduce and study $\mathfrak{M}$-quiddity
sequences where $\mathfrak{M}$ is a monodromy block matrix of order two. Also,
we examine some related topic as are the possibility of to define matrix-valued
friezes patterns and noncommutative signed Chebyshev polynomials.
