Known inequality 1 / N + 1 / N + 1 + 1 / N + 2 + 1 / 2n + 1 < 11a / 3 + 11 / 6A holds for any n ∈ n *. Find the value range of real number a

Known inequality 1 / N + 1 / N + 1 + 1 / N + 2 + 1 / 2n + 1 < 11a / 3 + 11 / 6A holds for any n ∈ n *. Find the value range of real number a