A382972 Second center column of elementary triangular automaton rule 146, starting from a lone 1 cell.

0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0

Offset

0

Comments

An Elementary Triangular Automaton (ETA) is a cellular automaton in the triangular grid where cells hold binary states and rules are local to the first neighborhood. There are 256 possible ETA rules.

Rule 146 (10010010 in binary):

-----------------------------------------------

|state of the cell |1|1|1|1|0|0|0|0|

|sum of the neighbors' states |3|2|1|0|3|2|1|0|

|cell's next state |1|0|0|1|0|0|1|0|

-----------------------------------------------

The second center column is the sequence of states of the direct neighbors of the initial 1 cell.

Links

Paul Cousin, Table of n, a(n) for n = 0..16384

Paul Cousin, Illustration for n = 0..128

Paul Cousin, Triangular Automata

Paul Cousin, Rule 146

Paul Cousin, Triangular Automata Integer Sequences

Paul Cousin, Triangular Automata: The 256 Elementary Cellular Automata of the Two-Dimensional Plane, Complex Systems, 33(3), 2024, pp. 253-276.

Crossrefs

Cf. A382971, A383028, A374769, A380172, A374413.

Sequence in context: A117943 A285969 A189664 * A374413 A260446 A096268

Adjacent sequences: A382969 A382970 A382971 * A382973 A382974 A382975

Keyword

nonn

Author

Paul Cousin, Apr 10 2025

Status

approved