# A Billion Bits of the Center Column of the Rule 30 Cellular Automaton

The center column of the rule 30 cellular automaton over a billion steps of evolution

The resource contains a byte array of the data. Each byte gives 8 values from the center column, with the highest-order bit in each byte representing the value that appears first in the center column.

## Examples

### Basic Examples

Retrieve the sequence packed into bytes:

 In[1]:=
 Out[1]=

Unpack the sequence as bits (this can take some time):

 In[2]:=

The sequence contains a billion bits:

 In[3]:=
 Out[3]=

It uses about 8 GB of memory:

 In[4]:=
 Out[4]=

Show the first 100 bits:

 In[5]:=
 Out[5]=

Compare with a direct computation:

 In[6]:=
 Out[6]=

Count the total number of 1s and 0s in the full sequence:

 In[7]:=
 Out[7]=

Count the number of occurrences of possible 2-grams:

 In[8]:=
 Out[8]=

Compute the running excess of 1s over 0s:

 In[9]:=

Find the extreme values:

 In[10]:=
 Out[10]=

Plot the running excess:

 In[11]:=
 Out[11]=

Wolfram Research, "A Billion Bits of the Center Column of the Rule 30 Cellular Automaton" from the Wolfram Data Repository (2019)