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centered heptagonal n.  and  junction n.

First numbers that belong to both sets:

3928, 6931, 10018, 12811, 15016, 16423, 19426, 21022, 22121, 27413, 31921, 38221, 50821, 52522, 60523, 63316, 65213, 86822, 87928, 97028, 109033, 111518, 114031, 127016, 142108, 168631, 171718, 190828, 219626, 243013, 263726, 269522, 352822, 370826, 384623, 403411, 420218, 427526, 447322, 470128, 501418, 567022, 598438, 615931, 682228, 685322, 691531, 768223, 804721, 937322, 966526, 1056826, 1080031, 1083923, 1091728, 1115311, 1199836, 1300216, 1440328, 1449323, 1453831, 1481026, 1550116, 1564123, 1592326, 1606522, 1693021, 1737121, 1766836, 1801822, 1827022, 1908838, 1976633, 2013628, 2034922, 2056328, 2121218, 2159536, 2226022, 2350531, 2490223, 2519833, 2531726, 2640023, 2695022, 2707321, 2769236, 2787947, 3036923, 3155426, 3168733, 3215528, 3269428, 3399236, 3482522, 3588047, 3637831, 3666433, 3789241, 3803822, 3847733, 3943738, 4063522, 4324013, 4370822, 4410022, 4433626, 4481023, 4488947, 4536638, 4600618, 4665046, 4673131, 4681223, 4762528, 4844533, 4877531, 4927238, 5061022, 5154038, 5325328, 5412023, 5455633, 5473126, 5631823, 5685226, 6020113, 6103021, 6374026, 6392933, 6430831, 6440323, 6573946, 6583543, 6670231, 6718636, 6728338, 6738047, 6796448, 6983047, 7232422, 7475938, 7640522, 7765136, 7796447, 7869751, 7953947, 8145026, 8209223, 8284438, 8403326, 8425033, 8457646, 8468531, 8501228, 8643643, 8887348, 8920843, 8932022, 8999243, 9225133, 9430828, 9442322, 9465331, 9476846, 9534526, 9662038, 10061521, 10252313, 10420726, 10578338, 10737133, 10810822, 10872422, 11045833, 11070718, 11220616, 11295943, 11308522, 11371522, 11460016, 11612518, 11638033, 11817422, 11985226, 12024118, 12115111, 12495736, 12775036, 13125113, 13383931, 13425028, 13590046, 13797736, 14021008, 14049043, 14274331, 14302618, 14615623, 14629931, 14874238, 15062426, 15281036, 15812126, 15901523, 16021111, 16171226, 16488746, 16580033, 16641031, 16717436, 16732738, 16748047, 16901522, 16993943, 17148538, 17164036, 17241631, 17381743, 17397346, 17600822, 17632231, 17647946, 17695133, 17995447, 19025623, 19140038, 19287647, 19320526, 19353433, 19419331, 19601128, 19684043, 19767133, 19833731, 19917136, 20118022, 20387438, 20488931, 20556733, 20726728, 20914531, 20983033, 21017326, 21327223, 21431026, 21483022, 22182322, 22199948, 22270522, 22553938, 22785533, 22928641, 23054228, 23705522, 23924636, 23942941, 24016231, 24089633, 24199946, 24273628, 24421328, 24476831, 24550933, 24923123, 25035326, 25091522, 25129021, 25316936, 25656947, 25713836, 25865848, 25942022, 26113823, 26574731, 26651941, 26864846, 26981333, 27137041, 27156536.

Some larger examples :