  We study the question of whether a sequence d = (d_1,d_2, \ldots, d_n) of
positive integers is the degree sequence of some outerplanar (a.k.a. 1-page
book embeddable) graph G. If so, G is an outerplanar realization of d and d is
an outerplanaric sequence. The case where \sum d \leq 2n - 2 is easy, as d has
a realization by a forest (which is trivially an outerplanar graph). In this
paper, we consider the family \cD of all sequences d of even sum 2n\leq \sum d
\le 4n-6-2\multipl_1, where \multipl_x is the number of x's in d. (The second
inequality is a necessary condition for a sequence d with \sum d\geq 2n to be
outerplanaric.) We partition \cD into two disjoint subfamilies,
\cD=\cD_{NOP}\cup\cD_{2PBE}, such that every sequence in \cD_{NOP} is provably
non-outerplanaric, and every sequence in \cD_{2PBE} is given a realizing graph
$G$ enjoying a 2-page book embedding (and moreover, one of the pages is also
bipartite).
