Rule 94 is one of the elementary cellular automaton rules introduced by Stephen Wolfram in 1983 (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, 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 the
term is given by

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.

Sloane, N. J. A. Sequences A118101 and A118102 in "The On-Line Encyclopedia
of Integer Sequences."Wolfram, S. "Statistical Mechanics of
Cellular Automata." Rev. Mod. Phys.55, 601-644, 1983.Wolfram,
S. A
New Kind of Science. Champaign, IL: Wolfram Media, pp. 90,
55, 870,
and 952, 2002.