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decagonal n.  and  junction n.

First numbers that belong to both sets:

3510, 12825, 17226, 24727, 29326, 30015, 30712, 38122, 41310, 44626, 62125, 63126, 71422, 84826, 143830, 148417, 156222, 164227, 200032, 201825, 218322, 241326, 259335, 263425, 282226, 326326, 333217, 335530, 390937, 401005, 418932, 426735, 466830, 477826, 517320, 552420, 573427, 594826, 604117, 658126, 664632, 697642, 780130, 826735, 834025, 878437, 916327, 1100925, 1122010, 1139022, 1173430, 1279726, 1371826, 1404817, 1414315, 1476832, 1555632, 1570635, 1646730, 1740420, 1804320, 1880326, 1930015, 1991626, 2094532, 2106126, 2152822, 2200030, 2308120, 2344726, 2381620, 2425027, 2494030, 2513017, 2609032, 2634940, 2647942, 2674042, 2687140, 2921535, 2935225, 3018037, 3087927, 3165730, 3222922, 3258927, 3295132, 3382840, 3434535, 3546630, 3917430, 3973045, 4013010, 4045126, 4339930, 4373326, 4448935, 4491220, 4653727, 5068126, 5140422, 5332635, 5351125, 5556627, 5785227, 5891542, 5949940, 6008626, 6018435, 6166530, 6652530, 6797752, 6891937, 6944542, 6965640, 7018525, 7340035, 7492537, 7602427, 7724230, 7903126, 7970740, 7982037, 8129626, 8141035, 8221122, 8313130, 8592226, 8627437, 8745327, 8887851, 9091732, 9140040, 9237040, 9310126, 9322335, 9506430, 10056826, 10171315, 10209622, 10273627, 10337832, 10389340, 10544632, 10583635, 11017420, 11097226, 11177320, 11271127, 11663932, 11718640, 11746042, 11828440, 11883532, 11911126, 12021822, 12314835, 12342925, 12385120, 12753826, 12811030, 13041126, 13070032, 13317025, 13346235, 13566330, 13625326, 13758535, 13967037, 13996951, 14011920, 14222326, 14282730, 14388745, 14556132, 14632537, 14647842, 14739840, 14847535, 15079630, 15141826, 15360520, 15454726, 15501937, 15754945, 16042027, 16380232, 16412626, 16428835, 17282727, 17684127, 17768332, 17835840, 17937342, 18039132, 18056125, 18073126, 18090135, 18346230, 18414826, 18569635, 18777055, 19107826, 19582837, 19671442, 19706940, 19778032, 20171326, 20532226, 20586637, 20641120, 21116322, 21263626, 21596932, 21652735, 22384726, 22822117, 23186632, 23283037, 23379642, 23846130, 24574327, 24713326, 25052527, 25152732, 25233040, 25394040, 25535335, 25920826, 26145325, 26453020, 26824630, 27282340, 27407842, 27533632, 27596635, 27912730, 28230625, 28422226, 28850326, 28957851, 29216727, 29455042, 29541942, 29716126, 30066030, 30153826, 30462120, 31105717, 31128030, 31418827, 31531032, 31643437, 31665942, 31891432, 31959235, 32299330, 32390326, 32595535, 32847226, 33145927, 33770626, 33886951, 33956842, 34096840, 34190332, 34237126, 34612630, 36279540, 36303637, 36327742, 36666052, 37005930, 37665837, 37985650, 38059645, 38084326, 38183130, 38529952, 38728840.

Some larger examples :