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equidigital n.  and  metadrome

First numbers that belong to both sets:

1, 2, 3, 5, 7, 13, 14, 15, 16, 17, 19, 23, 25, 27, 29, 35, 37, 47, 49, 59, 67, 79, 89, 123, 127, 129, 134, 135, 137, 139, 145, 146, 147, 149, 157, 158, 159, 167, 169, 178, 179, 189, 235, 237, 239, 245, 249, 257, 259, 267, 269, 289, 347, 349, 359, 367, 379, 389, 457, 467, 469, 479, 567, 569, 679, 1234, 1237, 1238, 1239, 1245, 1246, 1247, 1249, 1257, 1259, 1267, 1269, 1279, 1289, 1345, 1346, 1347, 1349, 1357, 1358, 1367, 1379, 1389, 1457, 1459, 1478, 1489, 1567, 1568, 1569, 1579, 1589, 1678, 1679, 1689, 1789, 2345, 2347, 2349, 2357, 2359, 2368, 2389, 2459, 2467, 2469, 2479, 2569, 2579, 2589, 2689, 2789, 3456, 3457, 3467, 3469, 3479, 3569, 3589, 4567, 4679, 4789, 5689, 5789, 12345, 12346, 12347, 12349, 12359, 12367, 12368, 12379, 12389, 12457, 12458, 12459, 12469, 12479, 12567, 12569, 12579, 12589, 12679, 12689, 13456, 13457, 13459, 13469, 13479, 13489, 13567, 13569, 13579, 13678, 13679, 13689, 13789, 14567, 14569, 14579, 14689, 14789, 15679, 15689, 23456, 23459, 23467, 23469, 23479, 23489, 23567, 23679, 23689, 23789, 24569, 24589, 24689, 24789, 25679, 25689, 26789, 34589, 34679, 35689, 46789, 123456, 123457, 123458, 123459, 123467, 123469, 123479, 123567, 123568, 123569, 123589, 123679, 123689, 123789, 124567, 124578, 124579, 124589, 124679, 124689, 124789, 125679, 125689, 125789, 134567, 134569, 134578, 134579, 134678, 134679, 134789, 135689, 135789, 136789, 145679, 145689, 145789, 146789, 156789, 234579, 234589, 234679, 235679, 235789, 236789, 245789, 345679, 345689, 345789, 356789, 1234567, 1234569, 1234579, 1234589, 1234678, 1234679, 1234689, 1234789, 1235789, 1236789, 1245689, 1345679, 1346789, 1356789, 1456789, 2345679, 2345689, 2346789, 2356789, 2456789, 12345679, 12345689, 12345789, 12356789, 13456789.