A039831 Largest coefficient in expansion of Product (1+q^1+q^3...+q^(2i-1)), i=1 to n.

1, 2, 4, 13, 57, 315, 2057, 15484, 132317, 1261560, 13281295, 153218597, 1921565205, 26008169266, 377922606876, 5871153031163, 97096594212804, 1702487540383101, 31551431772637772, 616331122530164638