A023059 k and 2k are anagrams in base 4 (written in base 4).

102, 123, 1002, 1020, 1032, 1203, 1230, 1233, 1302, 1323, 10002, 10020, 10032, 10200, 10221, 10320, 10332, 11022, 11223, 12003, 12030, 12033, 12231, 12300, 12330, 12333, 13002, 13020, 13032, 13203, 13230, 13233, 13302, 13323, 100002, 100020, 100032