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super-d n.  and  triangular n.

First numbers that belong to both sets:

105, 190, 231, 1081, 1431, 2926, 3081, 3321, 7381, 10585, 10731, 11781, 14535, 15576, 15931, 16471, 24310, 24531, 24753, 30381, 32131, 33411, 33670, 35511, 38226, 38781, 40186, 43071, 51681, 53956, 54285, 60031, 62481, 63190, 64261, 68265, 71253, 71631, 73153, 77421, 78210, 81003, 81810, 82621, 85491, 86320, 88831, 95266, 99681, 102831, 105111, 105570, 106030, 106491, 106953, 114481, 124251, 130816, 135981, 137026, 140715, 149331, 153181, 159895, 161596, 166176, 167331, 172578, 177310, 190036, 193131, 198135, 200028, 207046, 207690, 208981, 213531, 222111, 223446, 226128, 228826, 230181, 231540, 240471, 247456, 254541, 260281, 263175, 278631, 283128, 283881, 296835, 303031, 303810, 310078, 314028, 314821, 315615, 318003, 331705, 332520, 333336, 334153, 334971, 335790, 336610, 337431, 338253, 339076, 352380, 354903, 358281, 364231, 385881, 401856, 406351, 411778, 424581, 431985, 445096, 447931, 454581, 459361, 470935, 472878, 478731, 480690, 509545, 519690, 520710, 521731, 529935, 547581, 554931, 558096, 574056, 581581, 589155, 596778, 601156, 613278, 614386, 628881, 641278, 644680, 650370, 657231, 665281, 679195, 694431, 742371, 744810, 746031, 752151, 763230, 776881, 781875, 783126, 785631, 794430, 804546, 817281, 841753, 853471, 873181, 886446, 906531, 915981, 918690, 950131, 963966, 973710, 975106, 986310, 990528, 1007490, 1010331, 1014600, 1018878, 1027461, 1036080, 1046181, 1049076, 1050525, 1051975, 1053426, 1054878, 1056331, 1057785, 1059240, 1060696, 1062153, 1063611, 1065070, 1066530, 1067991, 1069453, 1070916, 1072380, 1076778, 1078246, 1081185, 1088550, 1092981, 1136278, 1143828, 1157481, 1166628, 1177345, 1185030, 1194285, 1195831, 1200475, 1206681, 1212903, 1225395, 1245831, 1269621, 1272810, 1274406, 1288815, 1295245, 1308153, 1314631, 1326006, 1327635, 1347261, 1352190, 1355481, 1367031, 1408681, 1427205, 1435665, 1439056, 1440753, 1452660, 1466328, 1481781, 1486950, 1525131, 1537381, 1546161, 1554966, 1581531, 1583310, 1619100, 1624503, 1640766, 1644391, 1653471, 1658931, 1660753, 1702935, 1704781, 1717731, 1764381, 1785105, 1786995, 1788886, 1805950, 1828828, 1830741, 1844160, 1846081, 1871145, 1892485, 1894431, 1900275, 1908081, 1957231, 1961190, 2009010, 2039190, 2043231, 2092035, 2094081, 2108431, 2147628, 2160081, 2170486.

Some larger examples :