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amenable n.  and  fibodiv n.

First numbers that belong to both sets:

28, 61, 149, 244, 305, 488, 497, 549, 969, 1292, 1301, 2733, 3089, 3248, 3644, 4997, 5204, 6377, 6496, 6505, 7288, 8845, 9161, 9744, 10408, 11709, 12356, 12992, 15445, 15612, 16913, 20816, 22117, 24712, 26020, 27321, 27801, 31224, 32525, 36428, 36644, 37729, 41632, 42933, 45805, 46836, 48137, 49997, 52040, 53341, 57244, 58545, 62448, 63749, 64996, 67652, 68953, 72856, 74157, 78060, 79361, 83264, 84565, 87089, 87321, 88468, 88945, 89769, 91661, 93672, 94973, 98876, 100177, 104080, 105381, 109284, 110585, 114285, 114488, 115789, 116428, 119692, 120993, 124896, 126197, 129992, 130901, 203749, 232856, 291232, 309089, 348356, 366644, 435445, 457140, 458305, 499997, 523604, 571425, 582464, 649996, 654505, 696712, 783801, 873696, 889945, 916661, 1047208, 1164928, 1178109, 1236356, 1299992, 1456160, 1479585, 1545445, 1596013, 1747392, 1972780, 2038624, 2329856, 2472712, 2781801, 3666644, 4583305, 4999997, 5824964, 6384052, 6499996, 7980065, 8612801, 8899945, 9166661, 11649928, 12768104, 12999992, 13090901, 14364117, 15969013, 17474892, 19004428, 19152156, 20748169, 20903708, 23299856, 25536208, 27132221, 30909089, 31920260, 33516273, 36666644, 38008856, 38304312, 39900325, 41807416, 44688364, 45833305, 46284377, 49999997, 51072416, 52363604, 52668429, 57013284, 57456468, 58249964, 59052481, 63840520, 64999996, 65436533, 65454505, 65671941, 70224572, 71820585, 76017712, 76608624, 78204637, 80212761, 82992676, 84588689, 86132801, 87562588, 88999945, 89376728, 90972741, 91666661, 95022140, 95760780, 97356793, 102144832, 103740845, 104727208, 108528884, 110124897, 114026568, 114912936, 116499928, 116508949, 117818109, 121296988, 123636356, 126506361, 129999992, 133030996, 152035424, 153234529, 154545445, 159699013, 171039852, 174749892, 175125176, 190044280, 209048708, 228053136, 232999856, 240797117, 247057564, 247272712, 262687764, 266061992, 278181801, 285066420, 304070848, 320851044, 323075276, 328359705, 342079704, 361084132, 366666644, 369142629, 380088560, 399092988, 401063805, 418097416, 449600925, 458333305, 468903352, 492190172, 499999997, 506025444, 582499964, 632531805, 641702088, 649999996, 656755941, 721914849, 805044957, 861332801, 875674588, 889999945, 916666661, 937806704, 962553132, 984380344.