A030003 (p-3)(p-5)(p-7)/48, as p runs through primes.

0, 0, 0, 4, 10, 35, 56, 120, 286, 364, 680, 969, 1140, 1540, 2300, 3276, 3654, 4960, 5984, 6545, 8436, 9880, 12341, 16215, 18424, 19600, 22100, 23426, 26235, 37820, 41664, 47905, 50116, 62196, 64824