Congruences modulo powers of 3 for generalized Frobenius partitions <i>C</i> Ψ _6,0

In 1984, Andrews introduced the family of partition functions [Formula: see text], which counts the number of generalized Frobenius partitions of [Formula: see text] with [Formula: see text] colors. In previous work, we proved a conjecture on congruences for [Formula: see text] modulo powers of 3. In this paper, we consider the (6, 0)-colored Frobenius partition functions [Formula: see text]. We establish a connection between the generating functions of [Formula: see text] and [Formula: see text] via an Atkin-Lehner involution, and prove congruences modulo powers of 3 for [Formula: see text].