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aban n.  and  nonagonal n.

First numbers that belong to both sets:

1, 9, 24, 46, 75, 111, 154, 204, 261, 325, 396, 474, 559, 651, 750, 856, 969, 1000450, 9000846, 12000034, 24000516, 25000569, 33000966, 40000611, 41000694, 44000541, 63000064, 215000259, 226000446, 255000196, 358000201, 371000916, 485000514, 530000961, 543000636, 680000176, 855000075, 1076000211, 1139000500, 1206000984, 1413000039, 1477000614, 1557000894, 1735000125, 1997000974, 2336000700, 2438000589, 2479000951, 2663000736, 2844000861, 2870000146, 3064000134, 3337000899, 3433000866, 3462000276, 3710000379, 3739000575, 3972000484, 4197000171, 4417000875, 5348000625, 5702000284, 5772000825, 5819000250, 5843000436, 5890000294, 5932000041, 6904000851, 7255000621, 7316000100, 7689000066, 7796000466, 8310000034, 8425000234, 8489000881, 8780000671, 8839000171, 9157000875, 9223000111, 10323000411, 10932000184, 10999000036, 11225000404, 11501000106, 11610000100, 12006000741, 12038000514, 12061000974, 12437000596, 13289000016, 14279000769, 14873000734, 15256000639, 15778000719, 15858000424, 15891000279, 16241000100, 17411000536, 18009000054, 18479000199, 18562000125, 20100000879, 20620000486, 21355000624, 21436000950, 22397000100, 22485000484, 23601000619, 23865000750, 23913000729, 24777000309, 25379000121, 25816000386, 26244000289, 26576000776, 26823000114, 26842000231, 27732000151, 28278000771, 28392000544, 29665000176, 29754000309, 30201000594, 30354000634, 30561000366, 30860000250, 31402000641, 32092000986, 32149000881, 32457000156, 32917000096, 33437000619, 34124000931, 34855000489, 35222000919, 37719000174, 38348000281, 38811000196, 39536000604, 40644000849, 40857000666, 41132000754, 41478000499, 43561000549, 45892000954, 46429000476, 46479000159, 47750000824, 49204000764, 50004000924, 51101000704, 51987000000, 52298000326, 52940000124, 54570000681, 55319000100, 56341000626, 56769000679, 57018000646, 57060000504, 57567000381, 57735000246, 58769000511, 60043000249, 60622000804, 60823000401, 61139000364, 61687000386, 61954000791, 64252000056, 64992000591, 65224000224, 66263000100, 67091000934, 67852000200, 68349000016, 68892000069, 70133000086, 70373000319, 72492000319, 72736000086, 74011000069, 74576000016, 75097000200, 75902000934, 76788000100, 77915000224, 78169000591, 78985000056, 81577000791, 81884000386, 82518000364, 82886000401, 83121000804, 83802000249, 85322000511, 86578000246, 86784000381, 87409000504, 87461000646, 87770000679, 88304000626, 89594000100, 90553000681, 92681000124, 93535000326, 93952000000, 95152000704, 96663000924, 97783000764, 99859000824, 101718000159, 101792000476, 102591000954, 106152000549, 109469000499, 110033000754, 110484000666, 110835000849, 112685000604, 113918000196, 114715000281, 115810000174, 120303000919, 120984000489, 122357000931, 123668000619, 124674000096, 125574000156, 126182000881, 126295000986, 127675000641, 128775000250, 129388000366, 129815000634, 130132000594, 131065000309, 131252000176, 133973000544, 134221000771, 135419000151, 137409000231, 137452000114, 138013000776, 138773000289, 139763000386, 140786000121, 142216000309, 144312000729, 144430000750, 145082000619, 147896000484, 148122000100, 150631000950, 150846000624, 152823000486, 154251000879, 158627000125, 158870000199, 160260000054, 162064000536, 165716000100, 166842000279, 166949000424, 167209000719, 168927000639, 170212000734, 172248000769, 175766000016, 178930000596, 180370000974, 180459000514, 180583000741, 182135000100, 182568000106, 183676000404, 184596000036, 184871000184, 187420000411, 192270000111.

Some larger examples :