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aban n.  and  strobogrammatic n.

First numbers that belong to both sets:

1, 8, 11, 69, 88, 96, 101, 111, 181, 609, 619, 689, 808, 818, 888, 906, 916, 986, 1000001, 6000009, 8000008, 9000006, 10000001, 11000011, 16000091, 18000081, 19000061, 60000009, 61000019, 66000099, 68000089, 69000069, 80000008, 81000018, 86000098, 88000088, 89000068, 90000006, 91000016, 96000096, 98000086, 99000066, 100000001, 101000101, 106000901, 108000801, 109000601, 110000011, 111000111, 116000911, 118000811, 119000611, 160000091, 161000191, 166000991, 168000891, 169000691, 180000081, 181000181, 186000981, 188000881, 189000681, 190000061, 191000161, 196000961, 198000861, 199000661, 600000009, 601000109, 606000909, 608000809, 609000609, 610000019, 611000119, 616000919, 618000819, 619000619, 660000099, 661000199, 666000999, 668000899, 669000699, 680000089, 681000189, 686000989, 688000889, 689000689, 690000069, 691000169, 696000969, 698000869, 699000669, 800000008, 801000108, 806000908, 808000808, 809000608, 810000018, 811000118, 816000918, 818000818, 819000618, 860000098, 861000198, 866000998, 868000898, 869000698, 880000088, 881000188, 886000988, 888000888, 889000688, 890000068, 891000168, 896000968, 898000868, 899000668, 900000006, 901000106, 906000906, 908000806, 909000606, 910000016, 911000116, 916000916, 918000816, 919000616, 960000096, 961000196, 966000996, 968000896, 969000696, 980000086, 981000186, 986000986, 988000886, 989000686, 990000066, 991000166, 996000966, 998000866, 999000666, 1000000001, 1010000101, 1060000901, 1080000801, 1090000601, 1100000011, 1110000111, 1160000911, 1180000811, 1190000611, 1600000091, 1610000191, 1660000991, 1680000891, 1690000691, 1800000081, 1810000181, 1860000981, 1880000881, 1890000681, 1900000061, 1910000161, 1960000961, 1980000861, 1990000661, 6000000009, 6010000109, 6060000909, 6080000809, 6090000609, 6100000019, 6110000119, 6160000919, 6180000819, 6190000619, 6600000099, 6610000199, 6660000999, 6680000899, 6690000699, 6800000089, 6810000189, 6860000989, 6880000889, 6890000689, 6900000069, 6910000169, 6960000969, 6980000869, 6990000669, 8000000008, 8010000108, 8060000908, 8080000808, 8090000608, 8100000018, 8110000118, 8160000918, 8180000818, 8190000618, 8600000098, 8610000198, 8660000998, 8680000898, 8690000698, 8800000088, 8810000188, 8860000988, 8880000888, 8890000688, 8900000068, 8910000168, 8960000968, 8980000868, 8990000668, 9000000006, 9010000106, 9060000906, 9080000806, 9090000606, 9100000016, 9110000116, 9160000916, 9180000816, 9190000616, 9600000096, 9610000196, 9660000996, 9680000896, 9690000696, 9800000086, 9810000186, 9860000986, 9880000886, 9890000686, 9900000066, 9910000166, 9960000966, 9980000866, 9990000666, 10000000001, 10100000101, 10600000901, 10800000801, 10900000601, 11000000011, 11100000111, 11600000911, 11800000811, 11900000611, 16000000091, 16100000191, 16600000991, 16800000891, 16900000691, 18000000081, 18100000181, 18600000981, 18800000881, 18900000681, 19000000061, 19100000161, 19600000961, 19800000861, 19900000661, 60000000009, 60100000109, 60600000909, 60800000809, 60900000609, 61000000019, 61100000119, 61600000919, 61800000819, 61900000619, 66000000099, 66100000199, 66600000999.

Some larger examples :