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binomial coefficient  and  junction n.

First numbers that belong to both sets:

105, 210, 406, 715, 816, 820, 1001, 1716, 2002, 2016, 2925, 3003, 3916, 5005, 6216, 7021, 8008, 8515, 9316, 9730, 10011, 12720, 14028, 15931, 16110, 16215, 17020, 18528, 23005, 25425, 27028, 27720, 27730, 31626, 31824, 34716, 37820, 48620, 48828, 50116, 52326, 53628, 54615, 57630, 61425, 64620, 64824, 66430, 67528, 77028, 83028, 85320, 97020, 101025, 105111, 106030, 107416, 113526, 118828, 119316, 123410, 130816, 137026, 139128, 149331, 150426, 152628, 159330, 165025, 167331, 170820, 175528, 176121, 183315, 183921, 184528, 190036, 195625, 198135, 200028, 205120, 209934, 215820, 221815, 222111, 224115, 227920, 228826, 232221, 236328, 237016, 253828, 261726, 264628, 271216, 273430, 278631, 281625, 283128, 292825, 294528, 296835, 302621, 303031, 315615, 324415, 326028, 337431, 346528, 349030, 357435, 359128, 360825, 362526, 364231, 384126, 387640, 415416, 416328, 419220, 421821, 426426, 451725, 453628, 455535, 465130, 468028, 474825, 475020, 487635, 492528, 493521, 497640, 505515, 521731, 529935, 533028, 550725, 552826, 554931, 557040, 562330, 575128, 591328, 619941, 620620, 635628, 654940, 661825, 681528, 694431, 705432, 709836, 711028, 713415, 720720, 729028, 735130, 739936, 746031, 750925, 755835, 759528, 763230, 775635, 780625, 788140, 794430, 814726, 819840, 828828, 830116, 860016, 861328, 881128, 888030, 909226, 914628, 924120, 926841, 935028, 944625, 950131, 957036, 968136, 971635, 991936, 1000405, 1001820, 1016025, 1020306, 1026028, 1037520, 1038220, 1047628, 1050525, 1056331, 1066530, 1084128, 1089836, 1090026, 1095940, 1097421, 1166628, 1180416, 1185030, 1216020, 1223830, 1228528, 1255320, 1268028, 1271215, 1292028, 1313010, 1314631, 1327635, 1332528, 1337430, 1363726, 1367031, 1423828, 1426425, 1456935, 1466328, 1485226, 1499046, 1512930, 1521520, 1528626, 1535628, 1539135, 1556730, 1562028, 1574425, 1606528, 1610115, 1633528, 1649836, 1658931, 1666225, 1684530, 1702935, 1706628, 1714026, 1717731, 1730730, 1760626, 1770021, 1781328, 1798940, 1910035, 1923825, 1941435, 1967136, 1983036, 2011015, 2013021, 2051325, 2065528, 2071630, 2096128, 2104326, 2108431, 2129016, 2147628, 2155926, 2178828, 2263128, 2299440, 2303731, 2308026, 2312325, 2316628, 2331720, 2342530, 2349028, 2364225, 2372931, 2383836, 2403528.

Some larger examples :