A267356 Binary representation of the n-th iteration of the "Rule 124" elementary cellular automaton starting with a single ON (black) cell.

1, 11, 111, 1011, 11111, 100011, 1100111, 11101011, 101111111, 1110000011, 10110000111, 111110001011, 1000110011111, 11001110100011, 111010111100111, 1011111001101011, 11100011011111111, 101100111100000011, 1111101001100000111, 10001111011100001011

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=124; 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 *) Table[FromDigits[catri[[k]]], {k, 1, rows}]   (* Binary Representation of Rows *)

Crossrefs

Cf. A267355.

Sequence in context: A284541 A267051 A101680 * A215559 A346231 A164553

Adjacent sequences: A267353 A267354 A267355 * A267357 A267358 A267359

Keyword

nonn,easy

Author

Robert Price, Jan 13 2016

Status

approved