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aban n.  and  octagonal n.

First numbers that belong to both sets:

1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833, 936, 2000833, 13000008, 19000833, 33000833, 35000336, 42000208, 54000661, 141000496, 208000133, 209000533, 227000405, 276000208, 279000920, 301000833, 333000816, 351000833, 361000760, 470000833, 532000833, 534000208, 552000545, 637000408, 666000200, 1056000408, 1080000080, 1115000965, 1199000208, 1202000833, 1300000833, 1301000225, 1302000001, 1303000161, 1304000705, 1392000961, 1509000696, 1521000833, 1631000833, 1691000208, 1756000520, 1796000136, 1873000533, 1876000133, 1914000725, 1993000325, 2118000981, 2508000360, 2627000208, 2703000833, 2849000833, 2927000616, 2930000008, 2933000936, 3052000656, 3172000833, 3208000801, 3330000833, 3331000408, 3332000133, 3333000008, 3334000033, 3335000208, 3336000533, 3481000160, 4198000576, 4218000033, 4798000208, 4804000833, 4998000833, 5071000760, 5302000720, 5423000833, 5629000833, 5740000208, 6303000033, 7378000208, 7496000533, 7499000033, 7502000133, 7505000833, 7691000801, 7747000833, 7765000376, 8135000280, 8140000120, 8202000256, 8274000833, 8528000833, 8536000208, 9222000520, 9536000440, 9650000536, 9666000981, 9939000325, 10046000536, 10118000725, 10163000440, 10206000133, 10213000533, 10254000960, 10287000976, 10728000400, 10797000208, 10806000833, 10859000360, 11096000833, 11455000961, 11517000880, 11713000705, 11716000161, 11719000001, 11722000225, 11725000833, 12027000833, 12176000376, 12189000208, 12309000965, 12735000840, 14529000208, 14603000545, 14707000833, 15045000833, 15513000480, 15776000833, 16126000833, 16137000208, 16711000405, 16869000533, 16878000133, 18766000661, 19196000208, 19208000833, 19347000296, 19594000833, 20427000833, 20825000833, 20826000645, 20827000481, 20828000341, 20829000225, 20830000133, 20831000065, 20832000021, 20833000001, 20834000005, 20835000033, 20836000085, 20837000161, 20838000261, 20839000385, 20840000533, 20841000705, 20842000901, 21038000208, 22967000033, 23742000641, 24015000581, 24080000208, 24309000833, 24743000833, 25478000696, 25678000833, 26124000833, 26138000208, 26358000800, 26367000000, 26376000736, 27554000033, 27881000840, 28390000640, 29992000533, 29995000208, 29998000033, 30001000008, 30004000133, 30007000408, 30010000833, 30492000833, 31262000008, 31529000833, 32023000833, 32287000208, 33037000920, 35204000133, 35217000533, 36031000208, 36311000833, 36841000833, 37334000296, 37980000833, 38397000801, 38522000833, 38539000208, 39380000408, 39391000056, 39488000865, 42145000976, 42313000408, 42385000581, 43194000208, 43212000833, 43790000833, 44127000321, 45031000833, 45621000833, 45936000208, 46346000961, 46862000901, 46865000533, 46868000261, 46871000085, 46874000005, 46877000021, 46880000133, 46883000341, 46886000645, 49009000160, 50111000661, 50382000208, 50713000833, 51339000833, 51607000576, 51681000008, 52485000545, 52682000833, 53320000833, 53324000408, 53328000133, 53332000008, 53336000033, 53340000208, 53344000533, 53626000405, 54432000600, 56716000033, 58793000208, 58814000833, 59488000833, 60751000640, 60933000833, 61619000833, 61985000208, 62327000856, 62449000965, 63493000240, 63791000481, 63798000065, 63805000033, 63812000385, 63981000256, 67098000321, 67133000208, 67488000533, 67497000033, 67506000133, 67515000833, 67733000725, 68199000325, 68237000833, 68821000641, 68921000981, 69507000960, 69784000833.

Some larger examples :