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64 125 216 343 512 729Bold numbers are the missing in the sequence
343.
1 8 27 64 125 216 343
2 cubed is 8.3 cubed is 27.4 cubed is 64.5 cubed is 125.6 cubed = 216.7 cubed is 343.
The next number in the sequence is a multiple of the number times seven, so the nth term would be 7n . 71 = 7 72 = 49 73 = 343 74 = 2,401 75 = 16,807 76 = 117,649 etc.