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nonagonal n.  and  wasteful n.

First numbers that belong to both sets:

9, 24, 46, 75, 154, 204, 261, 325, 396, 474, 559, 651, 750, 856, 969, 1089, 1350, 1639, 1794, 1956, 2301, 2484, 2674, 2871, 3075, 3286, 3504, 3729, 3961, 4200, 4446, 4699, 4959, 5226, 5500, 5781, 6069, 6364, 6666, 6975, 7291, 7614, 7944, 8281, 8625, 8976, 9334, 9699, 10450, 10836, 11229, 12036, 12450, 13299, 13734, 14625, 15081, 15544, 16014, 16491, 17466, 17964, 18469, 18981, 19500, 20026, 20559, 21099, 21646, 22200, 23904, 24486, 25075, 25671, 26274, 26884, 27501, 28756, 29394, 30039, 31350, 32016, 33369, 34056, 34750, 35451, 36159, 36874, 37596, 38325, 39061, 39804, 40554, 41311, 42075, 42846, 43624, 44409, 45201, 46000, 46806, 47619, 49266, 50100, 50941, 51789, 52644, 53506, 55251, 56134, 57024, 57921, 58825, 59736, 60654, 61579, 62511, 63450, 64396, 65349, 66309, 67276, 68250, 69231, 70219, 71214, 72216, 73225, 74241, 76294, 77331, 78375, 79426, 80484, 81549, 82621, 83700, 84786, 85879, 86979, 88086, 89200, 90321, 91449, 92584, 93726, 94875, 96031, 97194, 98364, 99541, 100725, 101916, 103114, 104319, 105531, 107976, 111696, 112950, 115479, 116754, 118036, 119325, 120621, 121924, 123234, 127206, 128544, 131241, 132600, 133966, 135339, 136719, 138106, 139500, 142309, 143724, 145146, 146575, 148011, 149454, 150904, 153825, 155296, 156774, 159751, 162756, 165789, 167316, 168850, 170391, 171939, 173494, 175056, 176625, 178201, 179784, 181374, 182971, 184575, 186186, 187804, 189429, 191061, 192700, 194346, 197659, 199326, 201000, 204369, 207766, 209475, 211191, 212914, 214644, 216381, 219876, 221634, 223399, 225171, 226950, 230529, 232329, 234136, 235950, 237771, 239599, 241434, 243276, 246981, 248844, 250714, 252591, 254475, 256366, 258264, 260169, 262081, 264000, 265926, 269799, 271746, 273700, 275661, 277629, 279604, 281586, 283575, 285571, 287574, 289584, 291601, 295656, 297694, 299739, 301791, 303850, 305916, 307989, 310069, 312156, 314250, 316351, 318459, 320574, 322696, 324825, 326961, 329104, 331254, 333411, 335575, 337746, 339924, 342109, 344301, 346500, 348706, 350919, 353139.

Some larger examples :