A102802 Let f(n) be the minimal number of distinct nonzero tetrahedral numbers that add to n (or -1 if n is not a sum of distinct tetrahedral numbers); sequence gives numbers n for which f(n) = 3.

15, 25, 31, 34, 40, 46, 49, 59, 61, 65, 67, 70, 77, 80, 86, 89, 92, 95, 98, 101, 105, 108, 111, 114, 123, 125, 129, 131, 134, 139, 141, 144, 150, 156, 159, 160, 170, 177, 179, 180, 186, 189, 195, 196, 201, 205, 208, 210, 211, 214, 222, 225, 231