A024203 [ (4th elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+3 odd positive integers}.

6, 67, 337, 1171, 3250, 7739, 16467, 32145, 58609, 101099, 166559, 263975, 404740, 603049, 876320, 1245656, 1736324, 2378274, 3206681, 4262522, 5593180, 7253080, 9304353, 11817531, 14872272, 18558116, 22975270, 28235420, 34462582