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centered heptagonal n.  and  happy n.

First numbers that belong to both sets:

1, 386, 638, 736, 1772, 1933, 2458, 4663, 5741, 8233, 14113, 14561, 17396, 21022, 21568, 22681, 23248, 26797, 27413, 28666, 29303, 33958, 38221, 40447, 48322, 50821, 55126, 63316, 68111, 71072, 79276, 80333, 87928, 92422, 101746, 109033, 114031, 115298, 123047, 127016, 131048, 136522, 142108, 144943, 150697, 176401, 199088, 207523, 217876, 221383, 232072, 239338, 309772, 320272, 350603, 355048, 465011, 477856, 498772, 504071, 533716, 541948, 550243, 555808, 561401, 584053, 589786, 601336, 660766, 682228, 688423, 774796, 808081, 821591, 845503, 855856, 866272, 869758, 883772, 944581, 1076146, 1147147, 1183498, 1187572, 1228697, 1295953, 1343231, 1360633, 1417963, 1422422, 1458346, 1476476, 1568806, 1578193, 1587608, 1616021, 1663936, 1791791, 1816921, 1842226, 1847308, 1950418, 1971376, 2018941, 2094058, 2104901, 2115772, 2121218, 2165038, 2214871, 2287853, 2344798, 2519833, 2525776, 2646106, 2756797, 2769236, 2781703, 2914297, 2984983, 3023896, 3030406, 3063061, 3115673, 3188746, 3202123, 3392341, 3413047, 3644971, 3659272, 3767422, 3825746, 3855076, 4025897, 4063522, 4162166, 4363003, 4417883, 4496878, 4568572, 4648897, 4729922, 4770697, 4787056, 4803443, 4894072, 4977197, 4985548, 5061022, 5120116, 5128586, 5137063, 5196598, 5247901, 5273647, 5290846, 5351263, 5676308, 5765803, 5819836, 5828866, 5855998, 5919551, 5974298, 5992603, 6140051, 6158608, 6177193, 6205123, 6383476, 6806206, 6825743, 6835522, 6933697, 6992938, 7042498, 7072318, 7132147, 7202266, 7282822, 7475938, 7486172, 7496413, 7578593, 7713091, 7838293, 7901272, 7953947, 8230678, 8349181, 8381647, 8479423, 8523061, 8687701, 8831663, 8853916, 8954401, 9066716, 9225133, 9453823, 9522976, 9662038, 9837283, 9931391.