Weighted count of equivalence classes of words w of length n+3 over {a, b, c, d, A, *} having exactly n letters, exactly three *'s, an even number of lowercase a's, and weight (-1)^(A(w)), where A(w) is the number of uppercase letters A.

A390530

Weighted count of equivalence classes of words w of length n+3 over {a, b, c, d, A, *} having exactly n letters, exactly three *'s, an even number of lowercase a's, and weight (-1)^(A(w)), where A(w) is the number of uppercase letters A.