A044830 n-th positive integer having more base 4 runs of even length than odd.

5, 10, 15, 80, 85, 90, 95, 160, 165, 170, 175, 240, 245, 250, 255, 261, 266, 271, 321, 322, 323, 325, 330, 335, 352, 357, 360, 361, 363, 367, 368, 373, 378, 380, 381, 382, 416, 421, 431, 496, 501, 506, 517, 522, 527, 592, 602