We give a formula for counting tree modules for the quiver S _g with g loops and one vertex in terms of tree modules on its universal cover. This formula, along with work of Helleloid and Rodriguez-Villegas, is used to show that the number of d-dimensional tree modules for S _g is polynomial in g with the same degree and leading coefficient as the counting polynomial A_S(d, q) for absolutely indecomposables over F _q, evaluated at q = 1.
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