Adjustable ships [GAME]

[creeperman7002]

I devise a formula for a hypothetical adjustable spaceship. Your goal is to find an adjustable spaceship using that formula. The first person to find such a ship can come up with another formula and let others guess.
You can create your own rule for this game, although you can only use at most 8 states.

I will start with my formula:
c/(2^n)

[toroidalet]

c/2^n for n≥4:

Code: Select all

@RULE AdjShip1
@TABLE
n_states:6
neighborhood:Moore
symmetries:none
var a={0,1,2,3,4,5}
var b=a
1,0,4,0,0,0,0,0,0,1
1,4,0,0,0,0,0,0,0,0
4,0,0,0,0,1,0,0,0,1
1,0,0,4,0,0,0,a,0,1
4,0,0,0,0,0,0,1,0,2
a,0,0,4,0,0,0,b,0,4
0,0,0,0,5,3,0,0,0,4
0,0,0,0,0,5,3,0,0,5
5,0,0,0,0,0,0,3,0,0
3,0,0,5,0,0,0,0,0,0
0,0,0,0,5,5,0,0,0,4
0,0,0,4,5,0,0,0,0,4
0,0,0,a,0,0,0,1,0,2
2,0,0,a,0,0,0,1,0,3
2,0,0,a,0,0,0,3,0,3
3,0,0,2,0,0,0,a,0,0
3,0,0,0,0,0,0,0,0,4
0,0,0,a,0,0,0,3,0,2
4,0,0,a,0,0,0,b,0,0
4,0,0,0,0,0,a,0,0,0
0,0,0,4,0,a,b,0,0,4
a,0,4,0,0,0,0,b,0,0

Code: Select all

x = 11, y = 11, rule = AdjShip1
A3.E5$A8.E5$A9.E!

For a slightly harder challenge, how about c/((2^n)-n)?