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amenable n.  and  katadrome

First numbers that belong to both sets:

1, 5, 8, 9, 20, 21, 32, 40, 41, 52, 53, 60, 61, 64, 65, 72, 73, 76, 80, 81, 84, 85, 92, 93, 96, 97, 320, 321, 420, 421, 432, 520, 521, 532, 540, 541, 620, 621, 632, 640, 641, 652, 653, 720, 721, 732, 740, 741, 752, 753, 760, 761, 764, 765, 820, 821, 832, 840, 841, 852, 853, 860, 861, 864, 865, 872, 873, 876, 920, 921, 932, 940, 941, 952, 953, 960, 961, 964, 965, 972, 973, 976, 980, 981, 984, 985, 4320, 4321, 5320, 5321, 5420, 5421, 5432, 6320, 6321, 6420, 6421, 6432, 6520, 6521, 6532, 6540, 6541, 7320, 7321, 7420, 7421, 7432, 7520, 7521, 7532, 7540, 7541, 7620, 7621, 7632, 7640, 7641, 7652, 7653, 8320, 8321, 8420, 8421, 8432, 8520, 8521, 8532, 8540, 8541, 8620, 8621, 8632, 8640, 8641, 8652, 8653, 8720, 8721, 8732, 8740, 8741, 8752, 8753, 8760, 8761, 8764, 8765, 9320, 9321, 9420, 9421, 9432, 9520, 9521, 9532, 9540, 9541, 9620, 9621, 9632, 9640, 9641, 9652, 9653, 9720, 9721, 9732, 9740, 9741, 9752, 9753, 9760, 9761, 9764, 9765, 9820, 9821, 9832, 9840, 9841, 9852, 9853, 9860, 9861, 9864, 9865, 9872, 9873, 9876, 54320, 54321, 64320, 64321, 65320, 65321, 65420, 65421, 65432, 74320, 74321, 75320, 75321, 75420, 75421, 75432, 76320, 76321, 76420, 76421, 76432, 76520, 76521, 76532, 76540, 76541, 84320, 84321, 85320, 85321, 85420, 85421, 85432, 86320, 86321, 86420, 86421, 86432, 86520, 86521, 86532, 86540, 86541, 87320, 87321, 87420, 87421, 87432, 87520, 87521, 87532, 87540, 87541, 87620, 87621, 87632, 87640, 87641, 87652, 87653, 94320, 94321, 95320, 95321, 95420, 95421, 95432, 96320, 96321, 96420, 96421, 96432, 96520, 96521, 96532, 96540, 96541, 97320, 97321, 97420, 97421, 97432, 97520, 97521, 97532, 97540, 97541, 97620, 97621, 97632.

Some larger examples :