It's not long enough to be certain, but here's my thinking
The numbers are a series of cubes. Or cube roots.
53 = 125
43 = 64
33 = 27
23 = 8
13 = 1
But there is not a 27, so I may be wrong.
Cubed integers
1 8 27 64 125 ...13 23 33 43 53 63 73 ...1 8 27 64 125 216 343...
64, 125 and 216
1, 2, 4, 8, 16, 32, 64 1, 5, 25, 125
1 8 27 64 125 216 343
1, 8, 27, 64, 125, 216
That series is the cubes of the counting numbers.
The pattern consists of the cubes of consecutive integers. Specifically, the numbers are (1^3), (2^3), (3^3), (4^3), and (5^3), resulting in 1, 8, 27, 64, and 125, respectively. The rule for this pattern is that each term is equal to (n^3), where (n) is the position of the term in the sequence (starting from 1).
The next cube number, after 43 = 64 is 53 = 125.
These are cubic numbers (13, 23, 33 ...). The next values would be 64, 125 and 216.
They are perfect cubes: 13, 23, 33, 43, and 53.
0, 1, 8, 27, 64 and 125.