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arithmetic n.  and  katadrome

First numbers that belong to both sets:

1, 3, 5, 6, 7, 20, 21, 30, 31, 41, 42, 43, 51, 53, 54, 60, 61, 62, 65, 70, 71, 73, 83, 85, 86, 87, 91, 92, 93, 94, 95, 96, 97, 210, 310, 321, 420, 421, 430, 431, 432, 510, 521, 531, 540, 541, 542, 543, 620, 621, 630, 631, 632, 641, 642, 643, 651, 653, 654, 710, 721, 731, 740, 741, 742, 743, 750, 751, 753, 761, 762, 763, 764, 765, 820, 821, 830, 831, 832, 840, 843, 851, 852, 853, 854, 860, 861, 862, 863, 864, 865, 870, 871, 874, 875, 910, 920, 921, 930, 931, 932, 940, 941, 942, 943, 950, 951, 952, 953, 961, 963, 965, 971, 973, 974, 980, 982, 983, 985, 987, 3210, 4310, 4320, 4321, 5310, 5320, 5321, 5420, 5421, 5430, 5431, 5432, 6210, 6310, 6320, 6321, 6420, 6421, 6430, 6431, 6432, 6510, 6521, 6531, 6532, 6540, 6541, 6542, 7210, 7310, 7321, 7410, 7420, 7421, 7430, 7431, 7510, 7520, 7521, 7530, 7531, 7532, 7540, 7541, 7542, 7543, 7620, 7621, 7630, 7631, 7640, 7641, 7643, 7651, 7652, 7653, 7654, 8310, 8321, 8420, 8421, 8430, 8431, 8510, 8520, 8521, 8531, 8540, 8542, 8543, 8610, 8620, 8621, 8630, 8631, 8641, 8643, 8651, 8653, 8654, 8710, 8720, 8721, 8731, 8732, 8740, 8741, 8742, 8743, 8751, 8753, 8754, 8761, 8763, 8765, 9210, 9310, 9321, 9420, 9421, 9430, 9431, 9510, 9521, 9531, 9540, 9541, 9542, 9543, 9620, 9630, 9631, 9632, 9641, 9642, 9643, 9651, 9653, 9654, 9710, 9721, 9730, 9731, 9740, 9741, 9742, 9743, 9750, 9751, 9752, 9753, 9761, 9762, 9763, 9764, 9765, 9820, 9821, 9830, 9831, 9841, 9842, 9843, 9851, 9852, 9853, 9854, 9860, 9861, 9862, 9863, 9865, 9870, 9871, 9873, 9875, 54210, 54310, 54321, 63210.

Some larger examples :