This note addresses the meander enumeration problem: "count all topological
ly inequivalent configurations of a closed planar non self-intersecting cur
ve crossing a line through a given number of points". We review a descripti
on of meanders introduced recently in terms of the coupling to gravity of a
two-flavored fully-packed loop model. The subsequent analytic predictions
for various meandric configuration exponents are checked against exact enum
eration, using a transfer matrix method, with an excellent agreement. (C) 2
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