A267580 Binary representation of the middle column of the "Rule 167" elementary cellular automaton starting with a single ON (black) cell.

1, 11, 110, 1101, 11010, 110101, 1101011, 11010111, 110101110, 1101011101, 11010111011, 110101110111, 1101011101111, 11010111011111, 110101110111111, 1101011101111111, 11010111011111110, 110101110111111101, 1101011101111111011, 11010111011111110111

Offset

0,2

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

Robert Price, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Mathematica

rule=167; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) mc=Table[catri[[k]][[k]], {k, 1, rows}]; (* Keep only middle cell from each row *) Table[FromDigits[Take[mc, k]], {k, 1, rows}]  (* Binary Representation of Middle Column *)

Crossrefs

Cf. A267576.

Sequence in context: A267366 A101556 A266219 * A280561 A281281 A281636

Adjacent sequences: A267577 A267578 A267579 * A267581 A267582 A267583

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved