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hexagonal n.  and  junction n.

First numbers that belong to both sets:

2016, 3003, 6216, 9730, 10011, 12720, 14028, 16110, 25425, 27730, 31626, 34716, 52326, 53628, 57630, 64620, 67528, 83028, 101025, 107416, 118828, 130816, 137026, 139128, 176121, 183315, 184528, 195625, 198135, 224115, 232221, 236328, 261726, 264628, 273430, 294528, 324415, 326028, 337431, 349030, 357435, 359128, 360825, 362526, 364231, 415416, 426426, 468028, 493521, 505515, 521731, 529935, 550725, 552826, 554931, 557040, 591328, 619941, 635628, 681528, 709836, 729028, 746031, 750925, 755835, 763230, 775635, 780625, 788140, 828828, 860016, 881128, 924120, 926841, 935028, 957036, 968136, 1001820, 1016025, 1047628, 1050525, 1056331, 1097421, 1166628, 1185030, 1216020, 1228528, 1292028, 1314631, 1327635, 1337430, 1363726, 1367031, 1423828, 1485226, 1499046, 1512930, 1562028, 1633528, 1658931, 1666225, 1684530, 1702935, 1706628, 1714026, 1717731, 1770021, 1781328, 1967136, 1983036, 2011015, 2051325, 2071630, 2096128, 2104326, 2108431, 2129016, 2178828, 2263128, 2331720, 2349028, 2383836, 2410110, 2436528, 2476425, 2498730, 2525628, 2530125, 2534626, 2616328, 2690040, 2736630, 2859636, 2931831, 2941525, 2951235, 2965830, 2995128, 3000025, 3004926, 3034416, 3158841, 3184026, 3194128, 3224530, 3296028, 3436131, 3446625, 3504628, 3515226, 3520531, 3611328, 3719628, 3873936, 3896236, 3901821, 3941028, 4020030, 4054128, 4065526, 4076940, 4117015, 4273426, 4285128, 4403028, 4474536, 4480521, 4522528, 4607130, 4637535, 4698645, 4766328, 4846941, 5092836, 5144028, 5189031, 5201925, 5234230, 5266635, 5273128, 5286126, 5299140, 5384121, 5403828, 5509540, 5522826, 5536128, 5576130, 5670028, 5901330, 5928846, 5935735, 5942628, 6081328, 6207526, 6264030, 6507028, 6557631, 6572125, 6586635, 6608430, 6652128, 6674031, 6681340, 6895041, 6917340, 6932226, 6962046, 7157436, 7187736, 7248528, 7393935, 7401628, 7409325, 7556328, 7681240, 7934136, 7966036, 8030028, 8183035, 8191128, 8207326, 8485140, 8501626, 8659041, 8684028, 8750836, 8784336, 8859945, 8910531, 9029125, 9054640, 9329040, 9713028, 9925740, 10041921, 10231026, 10431028, 10605315, 10743930, 10818226, 10827531, 10836840, 10902115, 11155726, 11174628, 11203011, 11364528, 11479236, 11556028, 11623431, 11642725, 11662035, 11691030, 11739435, 11914521, 11943828, 12061416, 12120426, 12338028, 12457536, 12607731, 12647935, 12728535, 12779040, 12910821, 12941328, 13145628, 13310220, 13351528, 13475836, 13705230, 13757635, 13768128, 14106016, 14255130, 14372841, 14405028, 14491036, 14620528.

Some larger examples :