  Let A be the algebra generated by the power series \sum n^{n-1} q^n/n! and
\sum n^n q^n /n! . We prove that many natural generating functions lie in this
algebra: those appearing in graph enumeration problems, in the intersection
theory of moduli spaces M_{g,n} and in the enumeration of ramified coverings of
the sphere.
  We argue that ramified coverings of the sphere with a large number of sheets
provide a model of 2-dimensional gravity. Our results allow us to compute the
asymptotic of the number of coverings as the number of sheets goes to infinity.
The leading terms of such asymptotics are the values of certain observables in
2-dimensional gravity. We prove that they coincide with the values provided by
other models. In particular, we recover a solution of the Painleve I equation
and the string solution of the KdV hierarchy.
