A044447 Numbers n such that string 1,1 occurs in the base 4 representation of n but not of n+1.

5, 23, 37, 53, 69, 95, 101, 117, 133, 151, 165, 181, 197, 215, 229, 245, 261, 279, 293, 309, 383, 389, 407, 421, 437, 453, 471, 485, 501, 517, 535, 549, 565, 581, 607, 613, 629, 645, 663, 677, 693, 709, 727, 741, 757, 773, 791