provable non palindromic numbers
10110
First few iterations:
| step | number |
|---|
| 0 | 10110 |
| 1 | 100011 |
| 2 | 1010100 |
| 3 | 1101001 |
| 4 | 10110100 |
After that this regularity appears:
N(i={2,4,...}) = "10"+repeat("1",(i+{4,5})/4)+"01"+repeat("0",(i+{6,7})/4)
N(i={5,9,13,...}) = "11"+repeat("0",(i-{2..5})/4)+"1000"+repeat("1",(i-{2..5})/4)+"01"
N(i={3,7,11,...}) = "11"+repeat("0",(i+{0..3})/4)+"010"+repeat("1",(i+{0..3})/4)+"01"
remarks:
- 3355 takes 187 steps before settling into a regular pattern.
- 4262 does not seem to take to this pattern.