The sequence is generated using cubes, or n^3. The next number in the sequence will be 4^3, or 256.
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125 (the sequence is successive numbers cubed)
27
327
81 Each number is 3 x the previous number. So, 3 x 27 = 81.
Your sequence seems to be a cubed sequence, but you are missing 64 between 27 and 125.13 = 123 = 833 = 2743 = 6453 = 12563 = 216So, next would be 73, which equals 343.