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centered nonagonal n.  and  pernicious n.

First numbers that belong to both sets:

10, 28, 55, 91, 136, 253, 406, 496, 595, 820, 1081, 1225, 1378, 1540, 1891, 2080, 2485, 3160, 3403, 3655, 3916, 4186, 4753, 5356, 5671, 7750, 8128, 8515, 9316, 10585, 11476, 12403, 12880, 13366, 13861, 14365, 17020, 18145, 18721, 21736, 24310, 24976, 25651, 26335, 27028, 27730, 29890, 32896, 34453, 41041, 43660, 46360, 49141, 51040, 53956, 56953, 63190, 65341, 67528, 68635, 72010, 74305, 77815, 80200, 81406, 88831, 92665, 95266, 97903, 111628, 114481, 118828, 124750, 126253, 132355, 135460, 137026, 143380, 144991, 148240, 151525, 154846, 161596, 168490, 171991, 173755, 184528, 186355, 188191, 193753, 205120, 210925, 218791, 220780, 228826, 232903, 234955, 237016, 243253, 251695, 253828, 262450, 264628, 271216, 273430, 282376, 296065, 303031, 319600, 322003, 324415, 326836, 329266, 331705, 339076, 341551, 344035, 346528, 351541, 356590, 359128, 364231, 371953, 379756, 390286, 400960, 406351, 409060, 425503, 439453, 447931, 450775, 459361, 470935, 482653, 485605, 491536, 509545, 515620, 521731, 524800, 530965, 546535, 555985, 581581, 584821, 591328, 597871, 601156, 607753, 611065, 614386, 617716, 627760, 651511, 654940, 661825, 675703, 679195, 693253, 700336, 711028, 718201, 729028, 747253, 754606, 780625, 845650, 849556, 861328, 865270, 877150, 881128, 885115, 901153, 905185, 933661, 937765, 941878, 946000, 958420, 979300, 983503, 996166, 1008910, 1013176, 1021735, 1030330, 1034641, 1038961, 1047628, 1065070, 1078246, 1082656, 1095940, 1104841, 1109305, 1122751, 1159003, 1181953, 1195831, 1209790, 1214461, 1242676, 1252153, 1256905, 1261666, 1271215, 1276003, 1285606, 1290421, 1295245, 1300078, 1304920, 1309771, 1319500, 1363726, 1368685, 1373653, 1398628, 1408681, 1439056, 1469755, 1485226, 1490401, 1516411, 1521640, 1537381, 1542646, 1547920, 1553203, 1574425, 1590436, 1595791, 1617301, 1628110, 1655290, 1660753, 1666225, 1677196, 1682695, 1710325, 1715878, 1721440, 1743778, 1755001, 1760626, 1766260, 1771903, 1777555, 1783216, 1788886, 1800253, 1869211, 1886653, 1915903, 1927666, 1933561, 1963171, 1981045, 2017036, 2029105, 2041210, 2047276, 2065528, 2071630, 2077741, 2089990, 2096128, 2102275, 2114596, 2120770, 2164240, 2170486, 2176741, 2189278, 2208151, 2220778, 2233441, 2246140.

Some larger examples :