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nude n.  and  triangular n.

First numbers that belong to both sets:

1, 3, 6, 15, 36, 55, 66, 666, 1128, 1176, 1326, 6216, 8128, 17766, 17955, 18336, 23436, 31626, 37128, 41328, 41616, 131328, 173166, 193131, 212226, 226128, 236328, 283128, 313236, 333336, 416328, 551775, 664128, 881128, 936396, 1142316, 1222266, 1466328, 1492128, 1539135, 2231328, 2263128, 2618616, 2764776, 2767128, 3337236, 3611328, 3744216, 3966336, 4241328, 4766328, 6449436, 7463316, 7874496, 8126496, 9642636, 9961416, 11293128, 11826816, 12342996, 12382776, 12417636, 13434336, 14111328, 14191128, 14239116, 14924916, 16111326, 16316328, 16637796, 18286128, 18292176, 19672128, 21836136, 22121226, 22261128, 22361328, 23232336, 23334696, 23884416, 23891328, 24161676, 26263128, 26963496, 27317136, 29119896, 31621128, 31868136, 32132136, 32292666, 33321366, 33533955, 34349616, 34748616, 34873776, 34882128, 36222816, 37736328, 38163216, 39139128, 41884128, 42168336, 43361328, 46161636, 46623996, 48881328, 51151555, 51313515, 51719535, 61466328, 61477416, 62177976, 63986328, 64883136, 67843776, 81313128, 82131336, 83366328, 86283816, 88811128, 89666136, 91618416, 94441896, 96431328, 96931926, 98441496, 111191328, 111773676, 113816328, 119946816, 121111266, 122422128, 126222216, 127241128, 128264136, 132641328, 136314816, 136331328, 141919128, 142188816, 142999416, 144219636, 146829816, 148738128, 149446116, 161146128, 166777716, 168113616, 169712676, 183389976, 187724376, 196188336, 216663336, 218666328, 222341328, 227623116, 229226166, 233463636, 236389896, 237434736, 242363136, 242693496, 244481328, 244813128, 246231336, 248366328, 262468416, 268737336, 271177116, 272646276, 273978936, 281141328, 283422336, 286861128, 289141128, 292614336, 296132616, 314716416, 316324128, 318743376, 319122216, 321146496, 322364136, 322999236, 324424128, 324831816, 328486896, 333762366, 341323128, 343442736, 362141328, 366866328, 368629128, 371322126, 382192128, 382634616, 383963616, 388438128, 388884216, 392462136, 398282976, 412893216, 429611328, 433842696, 434314128, 439961616, 441386616, 441416328, 441862128, 442129716, 446661216, 463799196, 467461176, 476277816, 481228776, 488234376.