A380670 Population of elementary triangular automaton rule 182, from a lone 1 cell.

1, 4, 10, 19, 28, 34, 52, 58, 82, 85, 124, 118, 181, 178, 223, 274, 283, 322, 355, 388, 421, 502, 493, 568, 577, 676, 739, 724, 865, 856, 931, 1006, 1069, 1162, 1141, 1342, 1339, 1450, 1387, 1648, 1603, 1756, 1801, 1960, 1945, 2230, 2125, 2404, 2251, 2374, 2395, 2746, 2683, 2884, 2983

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 182 (10110110 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|1|1|0|1|1|0|

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Links

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

Paul Cousin, Triangular Automata

Paul Cousin, Rule 182

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

Crossrefs

Cf. A380668, A380012, A372581.

Sequence in context: A145731 A162958 A307395 * A029714 A348239 A062198

Adjacent sequences: A380667 A380668 A380669 * A380671 A380672 A380673

Keyword

nonn,new

Author

Paul Cousin, Jan 30 2025

Status

approved