A165339 Numbers that eventually reach the cycle 919-1459 under "x -> sum of cubes of digits of x" (see A055012).
49, 94, 199, 337, 373, 379, 397, 409, 478, 487, 490, 733, 739, 748, 784, 793, 847, 874, 904, 919, 937, 940, 973, 991, 1099, 1129, 1147, 1174, 1192, 1219, 1237, 1273, 1291, 1327, 1339, 1369, 1372, 1393, 1396, 1399, 1417, 1459, 1468, 1471, 1486, 1495, 1549
Offset: 1
Examples
a(1)=49: 49 -> 4^3+9^3=793 -> 7^3+9^3+3^3=1099 -> 1+0+2*9^3=1459 -> 919 -> 1459 ... .
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