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aban n.  and  centered nonagonal n.

First numbers that belong to both sets:

1, 10, 28, 55, 91, 136, 190, 253, 325, 406, 496, 595, 703, 820, 946, 1000405, 3000025, 11000395, 27000226, 60000535, 75000628, 84000241, 163000540, 205000876, 235000360, 328000078, 330000895, 366000040, 390000556, 398000791, 428000653, 437000266, 441000451, 458000245, 505000090, 552000151, 571000321, 586000495, 734000455, 792000100, 814000726, 818000128, 915000031, 935000146, 973000441, 1098000091, 1131000580, 1411000003, 1474000660, 1597000870, 1614000520, 1841000860, 2075000410, 2169000316, 2952000703, 3055000861, 3199000078, 3294000361, 3645000271, 4172000185, 4284000766, 4289000653, 4545000811, 4837000546, 5146000525, 5490000505, 5554000315, 5889000601, 6160000510, 6186000835, 7128000901, 8105000221, 8235000280, 9882000820, 10729000855, 11284000651, 11455000480, 11593000315, 11685000628, 12179000485, 12334000330, 12699000028, 12802000078, 13311000703, 13701000880, 13801000591, 13977000415, 14078000503, 14548000600, 14773000105, 14867000830, 15736000906, 15817000870, 17208000370, 17734000285, 18249000490, 18952000705, 18997000660, 20996000740, 21333000403, 21900000970, 21949000921, 22073000995, 22272000985, 22362000940, 22875000778, 22936000753, 22981000078, 23217000355, 24741000235, 24880000915, 25059000385, 25511000140, 26310000745, 26837000326, 26933000095, 27311000041, 27424000306, 27722000845, 28156000951, 28732000186, 28791000703, 28809000703, 29444000446, 29804000878, 30971000521, 31125000250, 33318000730, 35275000078, 36057000070, 36161000128, 39386000116, 39601000306, 40037000851, 40241000971, 40990000681, 42116000878, 42170000491, 42612000346, 43665000886, 43712000650, 44080000903, 45095000086, 47491000336, 48964000645, 49151000746, 50193000703, 51196000078, 52723000450, 52761000061, 54146000503, 55444000501, 55667000278, 56041000291, 56509000471, 57337000930, 58170000241, 60041000656, 60611000365, 63260000056, 64561000780, 65060000281, 68758000696, 69139000153, 69264000721, 70827000265, 72708000445, 76300000120, 76679000245, 76726000585, 76793000950, 76993000255, 79332000301, 79987000528, 79993000153, 79999000003, 80005000078, 80011000378, 80017000903, 81270000703, 87193000810, 88473000925, 88742000116, 89587000405, 89990000920, 91543000555, 92954000035, 93130000831, 98216000821, 103234000078, 105654000403, 105734000296, 108602000326, 109176000121, 110368000225, 111948000076, 113038000075, 113937000841, 114291000253, 114841000126, 115182000703, 115218000703, 116263000945, 117304000066, 117653000986, 119965000051, 123385000420, 124646000986, 125354000278, 126462000070, 126844000975, 127822000078, 129748000528, 132841000846, 132957000946, 138986000065, 140016000790, 141324000481, 142337000926, 142986000466, 143984000251, 146357000965, 147046000753, 147585000160, 149262000751, 151787000800, 152661000520, 154630000216, 155034000703, 156110000761, 156167000146, 156793000078, 157220000875, 157326000391, 158518000270, 160492000735, 162509000356, 167092000741, 168343000381, 169548000040, 170041000195, 170237000251, 170731000378, 172168000201, 172693000360, 173779000570, 178962000778, 179111000386, 179535000700, 179731000576, 181041000778, 185120000101, 185679000136, 187508000305, 189514000378, 192950000236, 200486000476, 203671000261, 204288000400, 204808000078, 206829000703, 208606000240, 216283000753, 216662000401, 216741000421, 218441000935, 220289000680, 222667000111, 223266000565, 223918000615, 224382000151, 229782000916, 230419000675, 230639000725, 231063000301, 238459000528, 239249000980, 239550000535, 239739000346, 241087000078.

Some larger examples :