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esthetic n.  and  junction n.

First numbers that belong to both sets:

101, 210, 212, 1012, 2321, 4321, 4323, 101010, 101012, 101210, 101212, 121010, 121012, 121210, 121212, 123210, 123212, 321010, 321012, 321210, 321212, 323210, 323212, 343212, 345432, 543432, 545432, 545434, 565432, 565434, 765432, 765434, 1012121, 1012321, 1012323, 1210121, 1212121, 1212123, 1212321, 1212323, 1232121, 1232123, 1232321, 1232323, 1234321, 1234323, 2101010, 2101012, 2101210, 2101212, 2121010, 2121012, 2121210, 2121212, 2123210, 2123212, 2321010, 2321012, 2321210, 2321212, 2323212, 2343432, 2345432, 2345434, 3210121, 3210123, 3212121, 3212123, 3212321, 3212323, 3232121, 3232123, 3232321, 3232323, 3234321, 3234323, 3432121, 3432123, 3432321, 3432323, 3434321, 3434323, 3454321, 3454323, 4321010, 4321012, 4321212, 4323432, 4343232, 4343432, 4343434, 4345432, 4345434, 4543232, 4543234, 4543432, 4543434, 4545432, 4545434, 4565432, 4565434, 5432121, 5432123, 5432321, 5432323, 5434321, 5434323, 5454321, 5454323, 5654323, 5656543, 5676543, 5676545, 6543232, 6543234, 6543432, 6543434, 6545432, 6545434, 6565432, 6565434, 6765432, 6765434, 7654543, 7656543, 7656545, 7676543, 7676545, 7876543, 7876545, 8765432, 8765434, 8987654, 9876543, 9876545, 21010121, 21012121, 21012123, 21012321, 21012323, 21210121, 21210123, 21212121, 21212123, 21212321, 21212323, 21232121, 21232123, 21232321, 21232323, 21234321, 21234323, 23210121, 23210123, 23212121, 23212123, 23212321, 23212323, 23232121, 23232123, 23232321, 23232323, 23234321, 23234323, 23432121, 23432123, 23432321, 23432323, 23434321, 23434323, 23454321, 23454323, 43210121, 43210123, 43212121, 43212123, 43212321, 43212323, 43232121, 43232123, 43232321, 43232323, 43234321, 43234323, 43432121, 43432123, 43432321, 43432323, 43434321, 43434323, 43454323, 43456543, 45432121, 45432123, 45432321, 45432323, 45434323, 45454543, 45456543, 45456545, 45654343, 45654543, 45654545, 45656543, 45656545, 45676543, 45676545, 65432121, 65432123, 65432323, 65434543, 65454343, 65454543, 65454545, 65456543, 65456545, 65654343, 65654345, 65654543, 65654545, 65656543, 65656545, 65676543, 65676545, 67654343, 67654345, 67654543, 67654545, 67656543, 67656545, 67676543, 67676545, 67876543, 67876545, 87654343, 87654345, 87654543, 87654545, 87656543, 87656545, 87676543, 87676545, 87876543, 87876545, 89876543, 89876545, 89898765.