A046296 2^a(n) contains 2^10=1024 as largest proper substring of form 2^n.

224, 278, 286, 473, 502, 510, 645, 656, 698, 744, 871, 889, 909, 921, 955, 960, 966, 972, 1010, 1062, 1086, 1113, 1163, 1182, 1200, 1201, 1208, 1271, 1273, 1282, 1315, 1327, 1377, 1431, 1444, 1510, 1541, 1550, 1564, 1570, 1583, 1610, 1626, 1674, 1677