These are cubic numbers (13, 23, 33 ...). The next values would be 64, 125 and 216.
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Starting with 1 cubed, they are 1, 8, and 27.
The sequence represents the cube of integers starting at 1 and increasing by 1 at each step. 13 = 1 : 23 = 8 : 33 = 27 : 43 = 64 : then next two numbers are 53 = 125 : 63 = 216
1 3 8 27 32 1x3 =3 3+5=8 8x3=27 27+5=32
-3 x cube numbers 1, 8, 27, 64, etc.
1, 8, 27, 64, 125, 216