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centered heptagonal n.  and  self n.

First numbers that belong to both sets:

1, 547, 1772, 4663, 4922, 8926, 14113, 23822, 33272, 41203, 46691, 48322, 68111, 71072, 72073, 78226, 92422, 102943, 106576, 107801, 124363, 132406, 136522, 139301, 143522, 155086, 164053, 194111, 205822, 207523, 221383, 235691, 241172, 275381, 305621, 309772, 324521, 335266, 357281, 405791, 432433, 512072, 550243, 555808, 561401, 624772, 630701, 672988, 676061, 738991, 742211, 791351, 821591, 859321, 873251, 890821, 996178, 1037681, 1041496, 1076146, 1095641, 1107422, 1139146, 1163233, 1179431, 1220416, 1270522, 1338898, 1422422, 1435841, 1503881, 1545461, 1630322, 1639891, 1649488, 1717451, 1727272, 1742056, 1781788, 1816921, 1837151, 1842226, 1847308, 1903672, 1987168, 2008322, 2104901, 2237201, 2356271, 2362018, 2402443, 2443211, 2496131, 2597638, 2627878, 2713481, 2794198, 2800456, 2876098, 3030406, 3049978, 3162076, 3195431, 3242422, 3303343, 3364831, 3496501, 3503501, 3609341, 3623572, 3752911, 3811123, 3818431, 3951172, 4040926, 4048451, 4078621, 4116491, 4124086, 4215772, 4316236, 4339588, 4378648, 4512761, 4705541, 4869271, 5010643, 5120116, 5247901, 5403322, 5561011, 5874121, 6010936, 6121522, 6205123, 6289291, 6468841, 6641272, 6786697, 6815971, 6923848, 7062371, 7082272, 7112176, 7192228, 7202266, 7212311, 7313146, 7435072, 7619851, 7650868, 7901272, 8081081, 8091721, 8295211, 8316778, 8787241, 8809438, 9123136, 9134441, 9259258, 9592381, 9627178, 9978613, 10014103, 10324322, 10360421, 10541861, 10566172, 10651481, 10712626, 10786231, 10835441, 10897111, 10921828, 11095631, 11158036, 11233153, 11283371, 11523436, 11561572, 11791711, 11856041, 11907631, 12167261, 12376981, 12403322, 12641651, 12654958, 13030396, 13192978, 13220173, 13261018, 13301926, 13411322, 13452461, 13521166, 13728331, 14189638, 14430256, 14501411, 14601322, 14830978, 15501221, 15663691, 15752668, 15797251, 16036091, 16066072, 16111096, 16201333, 16261631, 16870771, 17102086, 17538088, 17569441, 17679397, 18011323, 18122651, 18442621, 18539158, 19058278, 19156411, 19172791, 19271218, 19717258, 19750501, 19800418, 20000716, 20084471, 20235671, 20471998, 20846141, 20863228, 21120373, 21137572, 21258161, 21639388, 22147091, 22305851, 22323526, 22536172, 22910728, 23126146, 23216201, 23342572, 23632708, 23669101, 23796697, 24034571, 24052918, 24310511, 24680881, 24792538, 24848461, 25392298, 25411156, 25600121, 26247838, 26362981, 27059131, 28021246, 28319131, 28959883, 29121191, 29161588, 29750491, 29811748, 29934451, 30345281, 30634528, 30655241, 30675961, 31091831, 31405571, 31910831, 31953118, 32058958, 32122546, 32356241.

Some larger examples :