Stochastic Cellular Automata

The parameters should consist of an odd number of numbers separated by commas.

The probability of any cell being black is determined by the cells above it using this formula (where $\theta$ is a vector containing the parameters, $t$ is the time passed (or row), and $i$ is the column): $$L = \frac{||\theta||-1}{2}$$ $$p(0, i) = 1$$ $$\text{(when t > 0) } p(t, i) = \theta \cdot \begin{bmatrix} c(t-1, i-L)\\ c(t-1, i-L+1)\\ \vdots \\ c(t-1, i+L) \end{bmatrix}$$ $$c(t, i) = \text{a number with a $p(t, i)$ probability of being 1}$$