A044444 Numbers n such that string 0,2 occurs in the base 4 representation of n but not of n+1.

18, 34, 50, 66, 75, 82, 98, 114, 130, 139, 146, 162, 178, 194, 203, 210, 226, 242, 258, 267, 274, 303, 306, 322, 331, 338, 354, 370, 386, 395, 402, 418, 434, 450, 459, 466, 482, 498, 514, 523, 530, 559, 562, 578, 587, 594, 610