A161269 Number of partitions of n into Lucas numbers A000032 where every part appears at least 3 times

0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 3, 7, 5, 6, 10, 10, 10, 15, 14, 18, 23, 23, 25, 36, 35, 40, 49, 54, 57, 70, 74, 84, 99, 105, 114, 137, 144, 159, 181, 198, 214, 243, 261, 287, 322, 345, 375, 422, 451, 489, 538, 583, 629, 693, 741, 804, 878, 940, 1015, 1107, 1183, 1272, 1377, 1478, 1584