A024682 a(n) = number of ways p(n) is a sum of 3 odd nonprimes r,s,t satisfying 15 <= r < s < t.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 7, 6, 8, 7, 11, 9, 18, 17, 20, 25, 25, 32, 36, 38, 40, 42, 49, 59, 62, 69, 68, 75, 91, 105, 104, 114, 112, 120, 134, 141, 149, 160, 172, 183, 193, 195, 203, 218, 255, 257, 271, 268, 317, 333, 342, 368, 358, 379, 413, 432