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COMMENTS
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Sequence is finite, final term a(63)=1764253.
The full list is:
1234657,1245763,1246537,1246573,1247563,1254367,1254637,
1256347,1257463,1263547,1264537,1264573,1265347,1275643,
1276543,1324567,1342567,1342657,1345627,1354267,1356247,
1356427,1362457,1425367,1426753,1427563,1427653,1435627,
1436257,1436527,1452637,1453267,1463257,1465273,1476253,
1476523,1524637,1524763,1532647,1546273,1546327,1562347,
1563427,1564237,1572643,1574623,1576243,1624573,1625347,
1632457,1634257,1645327,1647253,1647523,1652347,1653427,
1672453,1674523,1725463,1726453,1742563,1752643,1764253.
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