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Your sequence seems to be a cubed sequence, but you are missing 64 between 27 and 125.

13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

63 = 216

So, next would be 73, which equals 343.

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Q: What is the next number in the sequence 1-8-27-125-216?
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