  We give an explicit solution of the ADHM recursion formula conjectured by
Chuang, Diaconescu, and Pan. This solution is closely related to the formula
for the Hodge polynomials of Higgs moduli spaces conjectured by Hausel and
Rodriguez-Villegas. We solve also the twisted motivic ADHM recursion formula.
As a byproduct we obtain a conjectural formula for the motives of twisted Higgs
moduli spaces, which generalizes the conjecture of Hausel and
Rodriguez-Villegas.
