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centered heptagonal n.  and  wasteful n.

First numbers that belong to both sets:

8, 22, 148, 253, 316, 386, 638, 736, 1772, 2101, 2276, 2458, 3046, 3256, 3473, 3928, 4166, 4411, 4922, 5188, 5461, 6028, 6322, 6623, 6931, 7246, 7568, 7897, 8926, 9647, 10396, 11572, 11978, 13672, 14113, 15016, 15478, 16423, 16906, 17396, 18908, 19426, 21022, 22121, 23248, 23822, 24403, 25586, 26188, 26797, 28036, 28666, 30598, 31256, 31921, 32593, 33272, 33958, 35351, 36058, 36772, 38221, 38956, 39698, 40447, 41966, 42736, 44297, 45088, 45886, 48322, 49148, 49981, 51668, 52522, 53383, 55126, 56008, 58696, 59606, 60523, 61447, 62378, 63316, 64261, 66172, 67138, 69091, 70078, 71072, 73081, 74096, 75118, 78226, 79276, 80333, 81397, 82468, 83546, 85723, 86822, 87928, 90161, 91288, 92422, 94711, 95866, 97028, 98197, 99373, 100556, 105358, 107801, 109033, 111518, 116572, 119141, 120436, 125686, 127016, 131048, 132406, 133771, 137908, 140701, 142108, 147806, 156563, 161036, 162541, 165572, 167098, 171718, 173272, 177976, 182743, 185956, 189197, 190828, 195763, 199088, 200761, 205822, 209231, 210946, 212668, 217876, 219626, 221383, 224918, 226696, 228481, 232072, 233878, 237511, 239338, 241172, 246716, 248578, 250447, 254206, 256096, 259897, 261808, 263726, 269522, 271468, 275381, 277348, 279322, 281303, 283291, 285286, 287288, 291313, 293336, 295366, 301498, 303556, 309772, 311858, 313951, 318158, 320272, 322393, 326656, 328798, 330947, 335266, 337436, 343988, 346186, 348391, 350603, 352822, 355048, 359521, 361768, 364022, 370826, 373108, 375397, 377693, 379996, 382306, 386947, 389278, 391616, 396313, 398672, 401038, 403411, 408178, 410572, 412973, 417796, 420218, 427526, 429976, 437368, 439846, 444823, 447322, 449828, 452341, 454861, 457388, 459922, 462463, 467566, 470128, 477856, 480446, 483043, 488258, 490876, 493501, 496133, 498772, 501418, 504071, 509398, 512072, 514753, 520136, 522838, 525547, 530986, 533716, 539197, 541948, 544706, 550243, 553022, 555808, 558601, 561401, 564208, 567022, 572671, 575506, 578348, 586916, 589786, 598438, 601336, 604241, 610072, 612998, 615931, 618871, 621818, 624772, 633676, 636658, 642643, 645646, 648656, 651673, 657728.

Some larger examples :