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centered triangular n.  and  wasteful n.

First numbers that belong to both sets:

4, 46, 85, 136, 274, 316, 460, 514, 694, 760, 901, 976, 1054, 1396, 1684, 1786, 2110, 2224, 2461, 2584, 2710, 2839, 3106, 3244, 3676, 3826, 3979, 4294, 4456, 4960, 5134, 5311, 5491, 5674, 5860, 6049, 6436, 6634, 6835, 7246, 7456, 7885, 8104, 8326, 8551, 9010, 9244, 9481, 9964, 10210, 11224, 12835, 13396, 14260, 14554, 15151, 15760, 16696, 17014, 17986, 18316, 18649, 19324, 20710, 21064, 22510, 22879, 23626, 24004, 24769, 25156, 25546, 26335, 26734, 27949, 28360, 28774, 30034, 30460, 30889, 31756, 32194, 32635, 33079, 33526, 33976, 35806, 36271, 37684, 38161, 38641, 39124, 39610, 41086, 41584, 42085, 43096, 43606, 44635, 45154, 45676, 47260, 47794, 48331, 49414, 49960, 51616, 52174, 52735, 53866, 54436, 55585, 56164, 56746, 57919, 58510, 59104, 59701, 60301, 60904, 61510, 63346, 63964, 64585, 65209, 65836, 66466, 67099, 67735, 68374, 69016, 70960, 71614, 73594, 74260, 75601, 76276, 76954, 77635, 78319, 79006, 79696, 80389, 81085, 81784, 82486, 83191, 83899, 84610, 85324, 86041, 86761, 87484, 88210, 88939, 90406, 91144, 91885, 92629, 93376, 94126, 94879, 95635, 96394, 97156, 97921, 99460, 100234, 103360, 105736, 108946, 109756, 112204, 113026, 115510, 116344, 117181, 118021, 118864, 119710, 122266, 123124, 123985, 125716, 126586, 130096, 132760, 133654, 137260, 139996, 141835, 144616, 147424, 148366, 150259, 151210, 152164, 155044, 156010, 158926, 159904, 160885, 162856, 163846, 165835, 167836, 168841, 170860, 171874, 174934, 175960, 179056, 180094, 181135, 183226, 184276, 187444, 191710, 192784, 194941, 196024, 197110, 199291, 200386, 201484, 202585, 204796, 205906, 209254, 210376, 214894, 218314, 219460, 220609, 221761, 222916, 224074, 225235, 227566, 231085, 232264, 233446, 234631, 235819, 237010, 238204, 240601, 241804, 243010, 246646, 247864, 249085, 250309, 251536, 252766, 256474, 257716, 258961, 261460, 262714, 266494, 267760, 270301, 271576, 272854, 274135, 276706, 277996, 279289, 280585, 281884, 283186, 285799, 287110, 288424, 291061, 293710, 296371, 297706, 299044.

Some larger examples :