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Duffinian n.  and  hex n.

First numbers that belong to both sets:

169, 217, 469, 721, 817, 1027, 1141, 1261, 1387, 1519, 2107, 2611, 2977, 3781, 3997, 4681, 5941, 6487, 6769, 7651, 7957, 8587, 8911, 9577, 10621, 10981, 11347, 12481, 12871, 14077, 14491, 14911, 15337, 15769, 16207, 17557, 18019, 18961, 20419, 20917, 21421, 22969, 24031, 25669, 26791, 28519, 29107, 29701, 30301, 30907, 31519, 32761, 34027, 34669, 35971, 36631, 37969, 38647, 39331, 40021, 40717, 42127, 43561, 44287, 45019, 48007, 48769, 51091, 51877, 52669, 53467, 54271, 55081, 56719, 57547, 58381, 61777, 62641, 63511, 64387, 67051, 67951, 68857, 71611, 72541, 76321, 77281, 78247, 79219, 80197, 84169, 86191, 91351, 93457, 94519, 95587, 97741, 98827, 99919, 101017, 106597, 107731, 108871, 113491, 117019, 118207, 119401, 120601, 124237, 125461, 127927, 132931, 134197, 136747, 138031, 141919, 143227, 147187, 149857, 153907, 156637, 158011, 159391, 160777, 162169, 164971, 166381, 167797, 173521, 174967, 177877, 179341, 182287, 183769, 185257, 186751, 191269, 192787, 194311, 195841, 197377, 203581, 205147, 206719, 208297, 209881, 211471, 216277, 217891, 219511, 221137, 222769, 224407, 226051, 227701, 229357, 236041, 237727, 239419, 242821, 247969, 253171, 254917, 256669, 261961, 265519, 269101, 270901, 272707, 274519, 287371, 289231, 291097, 294847, 300517, 302419, 304327, 306241, 312019, 313957, 315901, 317851, 319807, 321769, 323737, 325711, 327691, 331669, 335671, 339697, 343747, 345781, 349867, 353977, 356041, 358111, 362269, 366451, 370657, 379141, 381277, 389881, 392047, 394219, 396397, 400771, 402967, 405169, 411811, 416269, 418507, 420751, 427519, 429787, 432061, 438919, 441217, 443521, 445831, 448147, 450469, 455131, 457471, 462169, 464527, 466891, 469261, 471637, 481201, 483607, 486019, 488437, 490861, 495727, 498169, 500617, 503071, 505531, 507997, 510469, 512947, 515431, 517921, 520417, 530461, 535519, 538057, 540601, 543151, 545707, 548269, 550837, 555991, 558577, 561169, 563767, 566371, 571597, 576847, 579481, 582121, 587419, 600769, 614269, 616987, 622441, 625177, 633421, 638947, 641719, 644497, 647281, 652867, 655669, 661291, 664111, 669769, 672607, 675451, 678301.

Some larger examples :