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arithmetic n.  and  magic constant

First numbers that belong to both sets:

1, 5, 15, 65, 111, 260, 369, 505, 671, 870, 1105, 1379, 1695, 2465, 3439, 4641, 5335, 6095, 8801, 9855, 10990, 12209, 13515, 14911, 17985, 19669, 21455, 25345, 27455, 29679, 32020, 34481, 37065, 42614, 45585, 48691, 51935, 58849, 62525, 66351, 74465, 78759, 83215, 87836, 92625, 97585, 102719, 108030, 113521, 119195, 125055, 137345, 143781, 150415, 164289, 171535, 178991, 186660, 194545, 202649, 210975, 219526, 228305, 237315, 246559, 275725, 285935, 296394, 307105, 318071, 329295, 340780, 352529, 364545, 376831, 389390, 402225, 415339, 428735, 442416, 456385, 470645, 485199, 515201, 530655, 546415, 562484, 578865, 595561, 612575, 629910, 647569, 665555, 683871, 702520, 721505, 740829, 760495, 800865, 821575, 842639, 864060, 907985, 930495, 953374, 976625, 1024255, 1073409, 1098565, 1124111, 1150050, 1176385, 1203119, 1230255, 1257796, 1285745, 1314105, 1342879, 1372070, 1401681, 1431715, 1462175, 1524385, 1556141, 1588335, 1654049, 1721551, 1755980, 1790865, 1826209, 1862015, 1898286, 1935025, 1972235, 2009919, 2086721, 2125845, 2165455, 2246145, 2287231, 2328815, 2413489, 2456585, 2500191, 2544310, 2588945, 2634099, 2772705, 2819965, 2867759, 2964961, 3064335, 3114844, 3165905, 3217521, 3269695, 3322430, 3375729, 3429595, 3484031, 3539040, 3594625, 3650789, 3707535, 3822785, 3881295, 3940399, 4000100, 4060401, 4121305, 4182815, 4244934, 4307665, 4371011, 4434975, 4564769, 4630605, 4697071, 4831905, 4900279, 4969295, 5109265, 5180225, 5251839, 5324110, 5397041, 5470635, 5544895, 5695425, 5771701, 5848655, 5926290, 6004609, 6083615, 6163311, 6243700, 6324785, 6406569, 6489055, 6572246, 6656145, 6740755, 6826079, 6998881, 7086365, 7353185, 7443591, 7534735, 7626620, 7719249, 7812625, 7906751, 8001630, 8097265, 8193659, 8290815, 8487425, 8586885, 8687119, 8889921, 8992495, 9095855, 9200004, 9304945, 9410681, 9517215, 9624550, 9732689, 9841635, 9951391.