求数列的通项公式

王守恩

谢谢 luyuanhong！给出——OEIS——A360010——通项公式。
   
1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8,

1. Table[N[Power[3 n + Sqrt[9 n^2 - 1/27], (3)^-1] + Power[3 n - Sqrt[9 n^2 - 1/27], (3)^-1], 8], {n, 0, 60}]

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1.0000000,
2.0000000, 2.4348414, 2.7478368,
3.0000000, 3.2144680, 3.4028479, 3.5718979, 3.7259424, 3.8679365,
4.0000000, 4.1237117, 4.2402829, 4.3506656, 4.4556235, 4.5557795, 4.6516493, 4.7436653, 4.8321938, 4.9175485,
5.0000000, 5.0797839, 5.1571066, 5.2321498, 5.3050749, 5.3760257, 5.4451308, 5.5125060, 5.5782560, 5.6424754, 5.7052506, 5.7666603, 5.8267765, 5.8856653, 5.9433878,
6.0000000, 6.0555540, 6.1100979, 6.1636766, 6.2163317, 6.2681020, 6.3190239, 6.3691314, 6.4184563, 6.4670285, 6.5148762, 6.5620258, 6.6085022, 6.6543291, 6.6995287, 6.7441220, 6.7881290, 6.8315687, 6.8744590, 6.9168169, 6.9586588,
7.0000000, 7.0408553, 7.0812388, 7.1211639, 7.1606433, 7.1996893, 7.2383137, 7.2765276, 7.3143419, 7.3517667, 7.3888120, 7.4254873,7.4618016, 7.4977639, 7.5333824, 7.5686652, 7.6036203, 7.6382550,
7.6725767, 7.7065924, 7.7403087, 7.7737322, 7.8068692, 7.8397257, 7.8723076, 7.9046206, 7.9366701, 7.9684616,
8.0000000, 8.0312904, 8.0623377, 8.0931464, 8.1237212, 8.1540663, 8.1841862, 8.2140849, 8.2437664, 8.2732347, 8.3024935, 8.3315466, 8.3603975, 8.3890496, 8.4175065, 8.4457714, 8.4738474, 8.5017378,
8.5294455, 8.5569735, 8.5843248, 8.6115021, 8.6385082, 8.6653457, 8.6920172, 8.7185254, 8.7448726, 8.7710614, 8.7970940, 8.8229727, 8.8486999, 8.8742778, 8.8997084, 8.9249939, 8.9501363, 8.9751377,
9.0000000, 9.0247251, 9.0493149, 9.0737713, 9.0980960, 9.1222908, 9.1463575, 9.1702976, 9.1941129, 9.2178050, 9.2413755, 9.2648258, 9.2881576, 9.3113723, 9.3344713, ......

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