Rule 94 is one of the elementary cellular automaton rules introduced by Wolfram (1983, 2002). It specifies the next color
in a cell, depending on its color and its immediate neighbors. Its rule outcomes
are encoded in the binary representation 
.
This rule is illustrated above together with the evolution of a single black cell
it produces after 15 steps (Wolfram 2002, p. 55).
Rule 94 is amphichiral, and its complement is 133.
Starting with a single black cell on an otherwise white infinite row, successive generations 
, 1, ... are given by interpreting the numbers
1, 7, 27, 119, 427, 1879, 6827, 30039, ... (OEIS A118101)
in binary, namely 1, 111, 11011, 1110111, 110101011, ...
(OEIS A118102). A formula for the 
th term is given by
 |
(1)
|
(E. W. Weisstein, Apr. 12, 2006), so computation of rule 94 is computationally reducible for evolution from a single black cell, in which case it has generating function (Macfarlane 2016, pp. 10, 13)
 |
(2)
|
Rule 94 is capable of exhibiting nesting and random behavior for some simple initial conditions (Wolfram 2002, p. 951). In particular, the random behavior is most likely to be computationally irreducible.
