A044516 Numbers n such that string 5,3 occurs in the base 6 representation of n but not of n+1.

33, 69, 105, 141, 177, 203, 213, 249, 285, 321, 357, 393, 419, 429, 465, 501, 537, 573, 609, 635, 645, 681, 717, 753, 789, 825, 851, 861, 897, 933, 969, 1005, 1041, 1067, 1077, 1113, 1149, 1185, 1223, 1257, 1283, 1293, 1329