A036462 Conjecturally, a power of 2 written in base 3 cannot have this many 0's.
115, 124, 139, 243, 367, 445, 783, 914, 958, 1095, 1112, 1200, 1239, 1312, 1487, 1752, 1902, 2013, 2504, 2583, 2620, 2697, 2725, 2754, 2881, 3015, 3365, 3443, 3612, 3673, 3980, 3984, 4002, 4105, 4184, 4212, 4315, 4343, 4394, 4477, 4516, 4862, 4918, 5100
Offset: 1
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