A046293 2^a(n) contains 2^7=128 as largest proper substring of form 2^n.

102, 107, 203, 207, 248, 257, 263, 271, 307, 312, 321, 324, 329, 331, 343, 357, 362, 385, 390, 429, 458, 469, 486, 491, 524, 535, 546, 553, 568, 569, 586, 607, 614, 625, 627, 633, 634, 640, 648, 651, 662, 665, 668, 675, 688, 695, 702, 707, 711, 712, 715