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odious n.  and  pancake n.

First numbers that belong to both sets:

1, 2, 4, 7, 11, 16, 22, 37, 56, 67, 79, 121, 137, 191, 211, 254, 301, 352, 379, 436, 466, 529, 631, 704, 781, 862, 947, 991, 1036, 1082, 1129, 1177, 1226, 1276, 1327, 1432, 1486, 1597, 1654, 1712, 1831, 2017, 2081, 2279, 2416, 2486, 2557, 2629, 2927, 3487, 3571, 3656, 3829, 4096, 4279, 4657, 4754, 4852, 5051, 5152, 5254, 5461, 5566, 5672, 5779, 5887, 6106, 6217, 6329, 6556, 6671, 7022, 7141, 7627, 7876, 8002, 8257, 8647, 8912, 9046, 9181, 9592, 9731, 10012, 10586, 11027, 11176, 11629, 12247, 12562, 12721, 13204, 13531, 13696, 13862, 14029, 14366, 14707, 14879, 15401, 15577, 15932, 16654, 17206, 17392, 17579, 17956, 18146, 18337, 18529, 18722, 18916, 19307, 19504, 19702, 20101, 20302, 20707, 20911, 21322, 21946, 22156, 22367, 22579, 22792, 23221, 23437, 24091, 25201, 25426, 26107, 26336, 26566, 27967, 28442, 28681, 28921, 29162, 29404, 29647, 30136, 30877, 31126, 31376, 31879, 32641, 32897, 33671, 34192, 34454, 34717, 35512, 36047, 36316, 36586, 36857, 37129, 37676, 37951, 38504, 38782, 39061, 39341, 40187, 40471, 40756, 41042, 41329, 42196, 42487, 42779, 45151, 45452, 45754, 46972, 48206, 48517, 49142, 49456, 50087, 50404, 52004, 52327, 52976, 53302, 54286, 54947, 55279, 55612, 56281, 56617, 56954, 57292, 57631, 57971, 58654, 59341, 60727, 61076, 62129, 62482, 64262, 64621, 65342, 66067, 66796, 67162, 67897, 68266, 69007, 69379, 70126, 70877, 72391, 73921, 74306, 74692, 75467, 75856, 76246, 77029, 77816, 78211, 78607, 79801, 81004, 81811, 82216, 82622, 83029, 84256, 85079, 85906, 86321, 87572, 89254, 90101, 90526, 90952, 91807, 92236, 92666, 93962, 94396, 94831, 96142, 96581, 97021, 97462, 98791, 99236, 99682, 100129, 100577, 101026, 101476, 101927, 102832, 104654, 105571, 106031, 106492, 107417, 107881, 108812, 110686, 111157, 112102, 112576, 113051, 113527, 114482, 115441, 116404, 116887, 117371, 117856, 118342, 119806, 121279.

Some larger examples :