A267146 Binary representation of the n-th iteration of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 10101, 10100, 100010001, 10001000, 1010001000101, 1001000100100, 10000000100000001, 1111100011111000, 101010001010100010101, 101001001010010010100, 1000100000001000000010001, 100011111000111110001000, 10100010100010101000101000101

Offset

0,3

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=105; 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. A267145.

Sequence in context: A267842 A193241 A265122 * A043641 A210890 A210892

Adjacent sequences: A267143 A267144 A267145 * A267147 A267148 A267149

Keyword

nonn,easy

Author

Robert Price, Jan 11 2016

Status

approved