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junction n.  and  pentagonal n.

First numbers that belong to both sets:

117, 210, 715, 925, 1001, 1520, 1617, 1926, 3015, 5017, 5922, 7526, 8626, 9322, 29330, 38320, 52922, 65417, 71832, 80620, 103622, 110026, 116622, 123410, 128627, 141220, 144926, 149626, 161212, 172212, 177332, 194220, 209627, 229126, 236215, 244622, 245835, 258130, 281017, 282317, 292825, 303525, 396037, 399126, 416330, 458437, 470120, 493927, 523626, 534315, 567030, 570725, 574432, 580015, 600717, 606426, 617925, 629532, 657035, 659022, 675026, 685126, 691222, 720027, 772927, 792430, 821030, 829932, 866020, 898227, 907537, 947640, 950026, 971635, 1000825, 1037920, 1040417, 1045420, 1063025, 1078232, 1083325, 1103817, 1116722, 1158522, 1195727, 1233520, 1288530, 1350427, 1356126, 1440110, 1448942, 1472626, 1544830, 1557032, 1590835, 1606320, 1609426, 1646932, 1653225, 1659530, 1691235, 1720026, 1736126, 1874327, 1891132, 1904630, 1948830, 1993537, 2003926, 2017820, 2116422, 2145026, 2170212, 2177435, 2268735, 2276120, 2290926, 2294635, 2313225, 2324415, 2343125, 2350630, 2373217, 2507127, 2597126, 2605027, 2624832, 2692730, 2737126, 2769642, 2831127, 2847637, 2876645, 2901626, 2922526, 3066635, 3088120, 3092426, 3096735, 3131315, 3153025, 3161730, 3209822, 3214212, 3240615, 3245026, 3324937, 3405820, 3496830, 3589040, 3607626, 3616937, 3644942, 3758042, 3796126, 3820026, 3887345, 3921225, 3930932, 3960125, 3984535, 4004117, 4018835, 4043425, 4082925, 4122617, 4227722, 4278237, 4375042, 4390426, 4405837, 4416126, 4436740, 4472930, 4540530, 4561432, 4577140, 4624426, 4741037, 4886135, 5044417, 5121732, 5132825, 5143930, 5205222, 5374227, 5454020, 5459742, 5494137, 5517127, 5528640, 5545932, 5685240, 5708626, 5844027, 5867737, 5945126, 5969040, 5975026, 6023022, 6053117, 6089330, 6113532, 6216926, 6315030, 6376735, 6432526, 6438740, 6544837, 6664442, 6715126, 6778751, 6926227, 6952037, 6990842, 7371525, 7384832, 7424825, 7606130, 7667051, 7673835, 7735026, 7823842, 7858137, 7989142, 8009926, 8044626, 8121230, 8275527, 8303737, 8324926, 8452627, 8516842, 8602840, 8610026, 8674835, 9090935, 9269051, 9291437, 9479037, 9509227, 9706632, 9729540, 9882950, 9991051, 10099740, 10107526, 10115315, 10177735, 10287432, 10334625, 10381926, 10413520, 10421426, 10429335, 10516532, 10532425, 10636022, 10700026, 10764222, 10877027, 10998542, 11079927, 11292932, 11334127, 11350626, 11391926, 11574537, 11683126, 11725026, 11792222, 11868047, 12037417, 12054420, 12062926, 12182325, 12199430, 12285135, 12405626, 12431522.

Some larger examples :