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centered triangular n.  and  junction n.

First numbers that belong to both sets:

109, 1219, 1306, 3106, 12016, 17014, 18316, 21421, 31321, 44119, 46729, 48331, 51616, 57331, 62119, 62731, 71614, 85324, 88939, 92629, 94126, 113026, 118021, 129214, 140914, 147424, 167836, 183226, 185329, 196024, 207019, 218314, 234631, 245431, 265231, 269029, 288424, 295039, 311221, 337726, 352111, 355024, 395524, 439834, 444721, 449635, 452926, 456229, 472924, 503731, 507214, 514216, 583129, 630829, 634726, 638635, 644521, 668335, 682426, 706924, 713116, 721414, 763624, 807034, 842626, 858439, 895135, 904429, 911431, 937336, 982936, 1000009, 1004914, 1054624, 1085026, 1108111, 1147126, 1162921, 1194835, 1232614, 1251724, 1268221, 1309936, 1352326, 1358029, 1445014, 1513531, 1528636, 1537735, 1562131, 1571329, 1583635, 1617724, 1655326, 1731826, 1770724, 1839835, 1923835, 1954534, 1975135, 1982026, 1995844, 2076229, 2108116, 2212516, 2227114, 2234431, 2245429, 2338129, 2345626, 2364421, 2375734, 2409835, 2436526, 2482624, 2580049, 2635426, 2659339, 2667334, 2699434, 2731726, 2739829, 2780524, 2825635, 2842129, 2921131, 2980036, 2992735, 3001216, 3018214, 3103924, 3147229, 3261226, 3314524, 3404314, 3408835, 3436024, 3463321, 3532036, 3601426, 3610729, 3634039, 3794536, 3973135, 4027024, 4086226, 4111021, 4165834, 4175839, 4205926, 4266424, 4296835, 4466026, 4497139, 4549234, 4580635, 4591126, 4601629, 4654324, 4792735, 4808836, 4835731, 4884331, 4889746, 4927735, 5125429, 5136526, 5147635, 5164321, 5181034, 5236939, 5270626, 5338324, 5457835, 5492224, 5561326, 5596039, 5607634, 5689135, 5700826, 5741839, 5771224, 5836135, 5925235, 5943136, 5967046, 6021019, 6111514, 6233224, 6263839, 6387049, 6530224, 6662335, 6687649, 6700324, 6827734, 6834136, 6846949, 6879034, 6917635, 7008124, 7079635, 7177735, 7197436, 7230331, 7322836, 7342735, 7442635, 7516324, 7583629, 7705534, 7719139, 7725946, 7760026, 7787344, 7842124, 7855849, 7883335, 8028424, 8111926, 8153839, 8160835, 8167834, 8174836, 8188849, 8223934, 8245021, 8266135, 8280226, 8365024, 8571736, 8607631, 8672431, 8679646, 8708536, 8810029, 8839135, 8956039, 8978044, 9007426, 9044221, 9066334, 9118036, 9132835, 9274024, 9318835, 9536944, 9612739, 9635536, 9734635, 9765229, 9803539, 10027216, 10066036, 10104931, 10175131, 10442524, 10521829, 10657336, 10874335, 11020216, 11044624, 11093521, 11142526, 11199835, 11356129, 11397439, 11588431, 11605114, 11722231, 11865235, 11992135, 12000619, 12085624, 12188026, 12394126, 12549835, 12732724, 12890539, 12916936.

Some larger examples :