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odious n.  and  pronic n.

First numbers that belong to both sets:

2, 42, 56, 110, 182, 342, 506, 552, 702, 812, 930, 992, 1190, 1332, 1640, 1722, 2162, 2450, 2756, 2862, 2970, 3080, 3306, 3540, 3782, 4422, 4692, 4970, 5700, 6006, 6320, 6480, 6806, 7310, 7832, 8372, 8742, 9120, 9506, 9900, 10302, 10506, 10712, 11130, 11342, 11990, 12210, 13572, 14042, 14520, 15006, 15500, 16002, 16256, 17030, 17556, 18090, 18632, 19182, 19740, 20592, 20880, 21170, 21462, 21756, 22350, 22952, 24180, 24806, 25122, 25760, 26732, 27390, 27722, 28392, 28730, 30102, 32220, 32580, 33306, 33672, 34040, 34410, 35532, 36290, 37442, 38220, 39402, 39800, 40602, 42230, 42642, 43056, 43472, 43890, 45582, 47742, 48620, 49062, 49952, 50850, 51302, 51756, 52670, 53130, 53592, 54056, 55460, 56406, 56882, 58322, 59780, 60270, 61256, 62250, 63252, 64262, 66822, 67860, 68906, 69960, 71022, 71556, 73170, 76452, 77006, 77562, 82082, 83232, 86142, 87320, 87912, 89700, 91506, 92112, 92720, 94556, 95172, 96410, 97656, 98282, 99540, 102080, 102720, 105300, 106602, 107256, 107912, 108570, 113906, 117306, 117992, 120756, 123552, 124962, 125670, 126380, 127092, 128522, 129960, 130682, 132860, 134322, 135056, 136530, 137270, 140250, 141000, 143262, 144020, 145542, 147072, 148610, 150156, 152490, 153272, 155630, 158006, 160400, 162812, 164430, 165242, 166872, 168510, 169332, 170982, 171810, 173472, 175980, 176820, 177662, 178506, 179352, 181050, 181902, 182756, 185330, 186192, 187056, 187922, 190532, 192282, 194922, 195806, 196692, 199362, 202050, 204756, 207480, 208392, 209306, 218556, 219492, 221370, 223256, 224202, 228006, 228962, 229920, 235710, 236682, 237656, 238632, 239610, 241572, 244530, 246512, 248502, 249500, 252506, 254520, 256542, 258572, 260610, 261632, 264710, 266772, 268842, 270920, 273006, 274052, 277202, 279312, 281430, 282492, 284622, 286760, 287832, 288906, 289982, 291060, 292140, 296480, 297570, 298662, 299756, 300852, 303050, 305256, 308580, 309692, 317532, 318660, 319790, 322056, 323192, 324330, 325470, 327756, 328902, 331200, 332352, 334662, 335820, 336980, 343982, 346332, 347510, 348690, 349872.

Some larger examples :