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Search a number
amenable n.  and  binomial coefficient

First numbers that belong to both sets:

20, 21, 28, 36, 45, 56, 84, 105, 120, 136, 153, 165, 220, 252, 253, 276, 300, 325, 364, 465, 496, 528, 560, 561, 680, 741, 780, 792, 816, 820, 861, 924, 969, 1001, 1081, 1128, 1140, 1176, 1225, 1365, 1485, 1540, 1596, 1653, 1716, 1820, 1953, 2016, 2024, 2080, 2145, 2300, 2380, 2485, 2556, 2600, 2628, 2701, 2925, 3060, 3081, 3160, 3240, 3276, 3321, 3432, 3741, 3828, 3876, 3916, 4005, 4060, 4368, 4465, 4560, 4656, 4753, 4845, 4960, 5005, 5253, 5356, 5456, 5460, 5565, 5984, 5985, 6105, 6188, 6216, 6328, 6441, 6545, 7021, 7140, 7260, 7381, 8001, 8008, 8128, 8256, 8385, 8436, 8568, 9045, 9180, 9316, 9453, 9880, 10153, 10296, 10440, 10585, 10660, 11325, 11440, 11476, 11480, 11628, 11781, 12341, 12376, 12561, 12720, 12880, 13041, 13244, 13861, 14028, 14196, 14365, 15180, 15225, 15400, 15504, 15576, 15753, 16653, 16836, 17020, 17205, 17296, 18145, 18336, 18424, 18528, 18564, 18721, 19448, 19600, 19701, 19900, 20100, 20301, 20349, 20825, 21321, 21528, 21736, 21945, 22100, 23005, 23220, 23436, 23653, 24753, 24804, 24976, 25200, 25425, 26565, 26796, 27028, 27132, 27261, 27405, 27720, 28441, 28680, 28920, 29161, 29260, 30381, 30628, 30856, 30876, 31125, 31465, 31824, 32385, 32509, 32640, 32896, 33153, 33649, 34220, 34453, 34716, 34980, 35245, 35960, 36585, 36856, 37128, 37401, 37820, 38760, 38781, 39060, 39340, 39621, 40920, 41041, 41328, 41616, 41664, 41905, 42504, 43365, 43660, 43680, 43956, 44253, 45753, 45760, 46056, 46360, 46376, 46665, 47905, 48205, 48516, 48620, 48828, 49141, 50116, 50388, 50721, 51040, 51360, 51681, 52360, 53301, 53628, 53956, 54264, 54285, 54740, 55945, 56280, 56616, 56953, 58653, 58905, 58996, 59340, 59640, 59685, 61425, 61776, 62128, 62196, 62481, 64261, 64620, 64824, 64980, 65341, 65780, 66045, 67161, 67525, 67528, 67896, 68265, 70125, 70300, 70500, 70876, 71253.

Some larger examples :