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heptagonal n.  and  junction n.

First numbers that belong to both sets:

616, 1918, 5221, 6426, 7209, 8323, 8614, 9211, 19228, 20115, 21022, 22420, 35224, 35820, 36421, 37027, 41409, 44023, 46717, 51624, 56025, 59830, 79834, 81631, 89019, 92833, 102718, 109935, 126225, 129618, 134212, 150921, 157126, 166023, 171217, 190026, 212722, 257121, 266832, 283417, 305725, 332515, 349129, 385533, 393427, 429940, 507826, 523723, 544522, 587335, 594628, 604422, 611820, 639331, 646939, 652036, 675220, 683038, 755425, 760932, 769230, 800041, 837234, 878233, 908118, 929335, 1052029, 1097928, 1111222, 1131313, 1196122, 1206520, 1245031, 1273419, 1287733, 1291324, 1342123, 1397638, 1405125, 1496529, 1519830, 1527637, 1555119, 1610818, 1614834, 1659340, 1700325, 1712718, 1766941, 1809226, 1864944, 1970028, 2114620, 2119221, 2146932, 2226424, 2254825, 2389743, 2394634, 2399530, 2463633, 2513518, 2558842, 2625025, 2640418, 2823328, 3134320, 3173632, 3207523, 3293038, 3304525, 3316032, 3443929, 3473334, 3485131, 3616218, 3688740, 3805039, 3835944, 3898129, 3986028, 4145428, 4190620, 4262131, 4314519, 4340833, 4347424, 4354020, 4360621, 4717629, 4772737, 4821219, 4849033, 4869946, 5225121, 5246829, 5275843, 5304937, 5312223, 5341417, 5356044, 5510835, 5705536, 5796538, 5827032, 5895936, 5988438, 6019432, 6230734, 6246531, 6254437, 6294042, 6341733, 6373627, 6672439, 6729741, 6779052, 6828543, 6861637, 6919744, 6969745, 7019926, 7120828, 7180020, 7376233, 7402021, 7453732, 7505623, 7531636, 7601224, 7609945, 7671132, 7794241, 7838446, 7918330, 7927231, 7945048, 8034433, 8124318, 8133334, 8187535, 8452044, 8544229, 8674128, 8739445, 9079231, 9107839, 9193933, 9213120, 9232327, 9367336, 9483838, 9522832, 9552130, 9778243, 9817837, 9867442, 10027018, 10037034, 10097235, 10462221, 10492929, 10513426, 10575037, 10636828, 10896228, 11084931, 11222224, 11243421, 11254027, 11371023, 11413717, 11553025, 11606830, 11812429, 11855943, 11866834, 11899537, 12019833, 12063727, 12664126, 12686643, 12731737, 12743023, 13049635, 13083928, 13164120, 13290631, 13348336, 13452520, 13464121, 13475727, 13487338, 13638736, 13802725, 13826232, 13861530, 14145534, 14157430, 14432418, 14516635, 14576940, 14868144, 14880340, 14892541, 15322726, 15471628, 15521422, 15847033, 15910038, 15960532, 16074436, 16188745, 16226938, 16277932, 16637130, 16650031, 16727542, 17026335, 17091640, 17262018, 17420040, 17539029, 17592043, 17738244, 17885050, 18059328, 18302031, 18369736, 18519127, 18532738, 18874638, 18902125, 19191946, 19233529, 19289043, 19302934, 19316830, 19330731, 19344637.

Some larger examples :