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junction n.  and  octagonal n.

First numbers that belong to both sets:

408, 1825, 5720, 6816, 8008, 8321, 11408, 19521, 20008, 22016, 28033, 28616, 31008, 55216, 58520, 60208, 61920, 75525, 91525, 103416, 110208, 116033, 151425, 159621, 161008, 197633, 200725, 226325, 229633, 246533, 264033, 274821, 285825, 298936, 310408, 328021, 330008, 338016, 340033, 346120, 385925, 398945, 425633, 446216, 448533, 488840, 501025, 541025, 572033, 598533, 625633, 631125, 653333, 681633, 693121, 719320, 731120, 740033, 743016, 797736, 803936, 825825, 864033, 916321, 936325, 943041, 959936, 963333, 966736, 990725, 997633, 1029016, 1050208, 1057320, 1170625, 1212216, 1216033, 1242920, 1254533, 1293633, 1410416, 1456033, 1498133, 1536536, 1566741, 1584133, 1597240, 1672533, 1726725, 1758736, 1767936, 1791041, 1856533, 1904033, 1937640, 1961825, 1991045, 2070021, 2095016, 2100033, 2115120, 2135320, 2181121, 2211925, 2258536, 2295125, 2358533, 2466133, 2520833, 2576133, 2592840, 2688533, 2768641, 2797536, 2809136, 2861633, 2879240, 2962120, 3010008, 3016021, 3149825, 3242720, 3324321, 3349633, 3362325, 3375041, 3406936, 3419736, 3477633, 3497040, 3542533, 3674133, 3747536, 3835221, 3944533, 4076336, 4153633, 4174840, 4224533, 4296033, 4303216, 4339221, 4382625, 4484741, 4588033, 4610320, 4662533, 4715040, 4737633, 4752725, 4798145, 4805736, 4813333, 4859041, 5020720, 5098640, 5192936, 5208736, 5264225, 5312021, 5360033, 5521633, 5586945, 5603333, 5768533, 5852033, 6029336, 6089025, 6140421, 6192033, 6252520, 6330721, 6383125, 6453333, 6523925, 6720033, 6846341, 6900833, 6992133, 7084033, 7232321, 7372736, 7419841, 7457633, 7486040, 7648033, 7744133, 7782741, 7831136, 7840833, 8134533, 8253525, 8393441, 8413525, 8534533, 8636033, 8707440, 8738133, 8830536, 9048033, 9121120, 9226040, 9257633, 9299841, 9352736, 9384545, 9427041, 9684033, 9759640, 9879045, 9966341, 10054021, 10241616, 10464536, 10565633, 10599440, 10610721, 10678533, 10712520, 10792033, 10803416, 10860421, 10906133, 10929025, 10951941, 11182421, 11240416, 11310208, 11333520, 11485633, 11509125, 11591536, 11840533, 11924120, 11960033, 12032021, 12370821, 12566533, 12739041, 12788545, 12800936, 13000008, 13062533, 13100120, 13188033, 13200616, 13263621, 13339425, 13542625, 13696033, 13824533, 13914840, 13953633, 14083333, 14213633, 14331416, 14344533, 14476033, 14568440, 14727536, 14754136, 14767445, 14874133, 15008033, 15102120, 15399736, 15413333, 15495041, 15590640, 15604321, 15686533, 15824033, 16086936, 16114736, 16282040, 16380033, 16422120, 16520533, 16605121, 16718241.

Some larger examples :