A382971 Population of elementary triangular automaton rule 146 at generation n, starting from a lone 1 cell at generation 0.

1, 4, 7, 13, 7, 28, 25, 46, 13, 46, 43, 79, 49, 133, 73, 160, 55, 109, 91, 211, 73, 238, 199, 337, 133, 343, 187, 388, 211, 523, 277, 607, 205, 478, 241, 559, 259, 679, 361, 748, 379, 805, 493, 967, 523, 1042, 709, 1372, 391, 976, 709, 1501, 649, 1612, 895

Offset

0,2

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):

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|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|

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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. A382972, A383028, A380012, A380670, A381734, A372581.

Sequence in context: A272251 A169700 A162957 * A372581 A051456 A283626

Adjacent sequences: A382968 A382969 A382970 * A382972 A382973 A382974

Keyword

nonn

Author

Paul Cousin, Apr 10 2025

Status

approved