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wasteful n.  and  zygodrome

First numbers that belong to both sets:

22, 33, 44, 55, 66, 77, 88, 99, 222, 333, 444, 555, 666, 777, 888, 999, 1100, 1111, 1122, 1133, 1144, 1155, 1166, 1177, 1188, 1199, 2200, 2211, 2222, 2233, 2244, 2255, 2266, 2277, 2288, 2299, 3300, 3311, 3322, 3333, 3344, 3355, 3366, 3377, 3388, 3399, 4400, 4411, 4422, 4433, 4444, 4455, 4466, 4477, 4488, 4499, 5500, 5511, 5522, 5533, 5544, 5555, 5566, 5577, 5588, 5599, 6600, 6611, 6622, 6633, 6644, 6666, 6677, 6688, 6699, 7700, 7711, 7722, 7733, 7744, 7755, 7766, 7777, 7788, 7799, 8800, 8811, 8822, 8833, 8844, 8855, 8866, 8877, 8888, 8899, 9900, 9911, 9922, 9933, 9944, 9955, 9966, 9977, 9988, 9999, 11000, 11100, 11133, 11144, 11166, 11188, 11222, 11444, 11666, 22000, 22200, 22211, 22222, 22244, 22266, 22288, 22444, 22555, 22666, 22888, 22999, 33000, 33111, 33222, 33300, 33322, 33333, 33366, 33388, 33399, 33444, 33555, 33666, 33888, 33999, 44000, 44222, 44333, 44400, 44422, 44433, 44444, 44455, 44466, 44488, 44499, 44555, 44666, 44888, 44999, 55000, 55222, 55444, 55500, 55522, 55533, 55544, 55555, 55577, 55588, 55599, 55666, 55777, 55888, 55999, 66000, 66111, 66222, 66333, 66444, 66555, 66600, 66611, 66622, 66633, 66644, 66655, 66666, 66677, 66699, 66777, 66888, 66999, 77000, 77111, 77222, 77333, 77444, 77555, 77666, 77700, 77722, 77733, 77744, 77755, 77766, 77777, 77788, 77799, 77888, 88000, 88111, 88222, 88333, 88444, 88555, 88666, 88777, 88800, 88822, 88833, 88844, 88855, 88866, 88877, 88888, 88899, 88999, 99000, 99111, 99222, 99333, 99444, 99555, 99666, 99777, 99888, 99900, 99911, 99922, 99933, 99944, 99955, 99966, 99977, 99988, 99999, 110011, 110022, 110033, 110044, 110055, 110066, 110077, 110088, 110099, 111000, 111100, 111111, 111122, 111133, 111144, 111155, 111166, 111177, 111188, 111222, 111333, 111444, 111555, 111666, 111777, 111888, 111999, 112200, 112222, 112233, 112244, 112255, 112277, 112288, 112299, 113300, 113311, 113322.

Some larger examples :