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ABA n.  and  junction n.

First numbers that belong to both sets:

1024, 1215, 1922, 4418, 5120, 9522, 14112, 15309, 16928, 34322, 46818, 49928, 52728, 65522, 69938, 82418, 84035, 89042, 106722, 122018, 123008, 128625, 144722, 157922, 176418, 183618, 195938, 203522, 223112, 239432, 240818, 256328, 272322, 290322, 351122, 371522, 492032, 499125, 508032, 596232, 611618, 613832, 647522, 689138, 693842, 700928, 712818, 727218, 729632, 739328, 766322, 798848, 855432, 865928, 873842, 949442, 957728, 985527, 1033922, 1068722, 1131008, 1149128, 1219922, 1267232, 1270418, 1292832, 1305728, 1316928, 1341522, 1381122, 1417928, 1458632, 1510322, 1552322, 1605632, 1609218, 1630818, 1634432, 1648928, 1774728, 1835528, 1980050, 1984032, 2012018, 2016032, 2044416, 2076722, 2159042, 2171528, 2192418, 2217618, 2228224, 2238728, 2285522, 2337122, 2384928, 2433218, 2437632, 2468642, 2499848, 2504322, 2572125, 2594642, 2626632, 2631218, 2681928, 2695842, 2733122, 2829124, 2841728, 2860832, 2899232, 2933042, 2942738, 3105032, 3110018, 3140018, 3145032, 3165128, 3220722, 3338528, 3359232, 3543122, 3623432, 3661218, 3688328, 3858642, 3875328, 3942432, 4010112, 4027122, 4181832, 4222418, 4228232, 4269042, 4315922, 4444632, 4452128, 4476032, 4482018, 4518018, 4524032, 4548128, 4562625, 4614722, 4694048, 4724738, 4737042, 4755528, 4854728, 4873442, 4885938, 5049842, 5068928, 5094432, 5100818, 5242322, 5392328, 5418632, 5425218, 5517842, 5651522, 5691938, 5725728, 5807232, 5855042, 5868738, 5999648, 6069128, 6097032, 6153032, 6386738, 6451232, 6501618, 6537728, 6573938, 6763842, 6815432, 6904328, 6978848, 7250432, 7280928, 7365122, 7496644, 7503938, 7519442, 7573832, 7636232, 7691042, 7856648, 7936128, 7960050, 7968032, 8024018, 8032032, 8088242, 8258048, 8298738, 8315042, 8339528, 8372232, 8437832, 8470728, 8495442, 8511938, 8661122, 8727842, 8853632, 8912642, 8957952, 9082322, 9176328, 9210632, 9288050, 9339842, 9447840, 9565938, 9715232, 9750528, 9777042, 9794738, 9839048, 9923847, 10089032, 10098018, 10161032, 10479042, 10535424, 10616832, 10653728, 10699938, 10744731, 10998050, 11073218, 11082632, 11171625, 11395538, 11443328, 11491218, 11558432, 11832936, 11897442, 11926728, 11965832, 12034418, 12310722, 12460032, 12470018, 12811922, 12893042, 12923528, 12964232, 12992241, 13035618, 13137938, 13436928, 13561632, 13603328, 13960328, 14087432, 14129928, 14439938, 14480427, 14493728, 14612418, 14623232, 14666528, 14699042, 15081032, 15169032, 15557042, 15635232, 15825938, 16078125, 16097138, 16119842, 16199432, 16210818, 16290632, 16336328.

Some larger examples :