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centered nonagonal n.  and  gapful n.

First numbers that belong to both sets:

190, 253, 1540, 2080, 4186, 5050, 5995, 10153, 12880, 15400, 17020, 19900, 21736, 30628, 35245, 41041, 46360, 86320, 100576, 106030, 113050, 117370, 124750, 130816, 135460, 143380, 144991, 148240, 156520, 168490, 177310, 182710, 191890, 205120, 210925, 214840, 220780, 228826, 230860, 237016, 264628, 289180, 312445, 324415, 382375, 395605, 398278, 400960, 406351, 445096, 488566, 500500, 524800, 546535, 575128, 578350, 611065, 725410, 739936, 818560, 857395, 941878, 950131, 987715, 1004653, 1008910, 1030330, 1038961, 1043290, 1065070, 1082656, 1095940, 1118260, 1131760, 1154440, 1186570, 1209790, 1219141, 1223830, 1237951, 1247410, 1280800, 1290421, 1304920, 1319500, 1343980, 1378630, 1383616, 1403650, 1418770, 1433971, 1439056, 1444150, 1449253, 1480060, 1490401, 1505980, 1511191, 1521640, 1547920, 1585090, 1611910, 1628110, 1655290, 1693720, 1721440, 1727011, 1738180, 1766260, 1783216, 1800253, 1805950, 1834570, 1851850, 1880830, 1904176, 1921780, 1951300, 1969120, 1999000, 2102275, 2151775, 2164240, 2195560, 2214460, 2246140, 2258875, 2271646, 2310175, 2421100, 2454220, 2474200, 2500966, 2507680, 2527876, 2692360, 2727280, 2748340, 2762425, 2783620, 2819125, 2898028, 2941525, 2956096, 2970703, 2978020, 2985346, 3000025, 3051685, 3088855, 3194128, 3262735, 3301165, 3355345, 3576475, 3804661, 3879505, 3955078, 3980431, 4065526, 4335040, 4379320, 4622320, 4668040, 4965976, 5041900, 5089645, 5118400, 5273128, 5410405, 5479705, 5781700, 5812345, 5863600, 5966785, 6260491, 6388525, 6474601, 6924781, 6958315, 7355530, 7436296, 7681240, 7763770, 7822990, 8002000, 8183035, 8464555, 8650720, 8675695, 8700706, 9221365, 9298828, 9546265, 9598771, 9970345, 10037440, 10104760, 10118251, 10145260, 10212940, 10294453, 10308070, 10321696, 10376290, 10417330, 10472176, 10485910, 10582300, 10651420, 10693000, 10762480, 10860130, 10930150, 10972270, 11042650, 11141560, 11212480, 11240911, 11255140, 11326420, 11369296, 11426590, 11498410, 11541610, 11613790, 11628253, 11671696, 11715220, 11787940, 11817091, 11831680, 11875501, 11904760, 12007450, 12036871, 12081070, 12125350, 12199330, 12303280, 12377800, 12422620, 12467521, 12497500, 12587653, 12602710, 12617776, 12632851, 12678130, 12693241, 12723490, 12784096, 12799270, 12905740, 12982060, 13027960, 13104640, 13120003, 13212370, 13289590, 13305061, 13336030, 13413610, 13522600, 13600720, 13647700, 13726180, 13773376, 13836430, 13915450, 13962970, 14042350, 14106016, 14137903, 14153860, 14233780, 14281840, 14362120, 14474890, 14555710.

Some larger examples :