A161256 Number of partitions of n into central polygonal numbers A000124 where every part appears at least 3 times

0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 5, 4, 5, 6, 8, 7, 9, 9, 12, 12, 14, 14, 19, 18, 22, 23, 28, 27, 32, 34, 40, 42, 47, 48, 57, 58, 66, 69, 78, 81, 89, 94, 106, 111, 120, 128, 143, 148, 161, 170, 187, 196, 214, 225, 244, 257, 277, 294, 319, 335, 357, 377, 409, 428, 460, 483, 519, 546, 582