Rule 150

Rule 150 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).

Starting with a single black cell, successive generations are given by interpreting the numbers 1, 7, 21, 107, 273, 1911, 5189, ... (OEIS A038184) in binary, namely 1, 111, 10101, 1101011, 100010001, ... (OEIS A118110).

Rule 150 is one of the eight additive elementary cellular automata (Wolfram 2002, p. 952).

REFERENCES:

Sloane, N. J. A. Sequences A038184 and A118110 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. 55, 90, and 952, 2002.