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Duffinian n.  and  esthetic n.

First numbers that belong to both sets:

21, 32, 65, 98, 121, 323, 343, 543, 565, 567, 676, 767, 989, 2101, 2123, 2321, 2323, 2345, 4321, 4343, 4543, 4565, 6543, 6545, 6565, 6767, 6787, 6789, 8765, 8767, 8789, 8989, 10121, 10123, 12121, 32101, 34321, 34343, 34565, 34567, 54343, 54543, 56545, 56567, 56765, 56789, 76565, 76567, 76765, 76787, 76789, 78767, 78789, 98765, 98767, 98789, 98987, 98989, 210121, 210123, 212101, 212321, 212323, 212345, 232121, 232123, 232321, 232343, 234543, 234565, 432101, 434321, 434543, 434545, 434567, 454323, 454343, 454567, 456543, 456787, 456789, 654321, 654543, 654565, 656543, 656567, 656765, 656767, 656787, 676543, 676567, 676765, 676787, 676789, 678787, 678789, 876767, 878765, 878767, 898789, 1010101, 1010123, 1012121, 1012123, 1012343, 1012345, 1210121, 1212101, 1212323, 1232101, 1232123, 1232321, 1232323, 1232343, 1234321, 1234343, 1234345, 1234565, 1234567, 3212321, 3232121, 3232123, 3232343, 3232345, 3234323, 3234343, 3234565, 3432121, 3432321, 3432323, 3432343, 3434321, 3434323, 3434567, 3454321, 3454543, 3454567, 3456543, 3456787, 5432101, 5432123, 5434543, 5434565, 5434567, 5454323, 5454565, 5454567, 5456543, 5456545, 5456567, 5456767, 5456789, 5654321, 5654345, 5654543, 5654545, 5656543, 5656565, 5656567, 5656765, 5656787, 5676543, 5676565, 5678987, 7654321, 7654323, 7654343, 7654543, 7654565, 7656565, 7656767, 7676543, 7676765, 7676767, 7676787, 7676789, 7678989, 7876543, 7876565, 7876765, 7878787, 7878987, 7898987, 9876565, 9876567, 9876767, 9876787, 9878765, 9878767, 9878789, 9878987, 9878989, 9898765, 9898787, 9898789, 9898987.