A267246 Binary representation of the n-th iteration of the "Rule 165" elementary cellular automaton starting with a single ON (black) cell.

1, 10, 1110, 101010, 11111110, 1011111010, 111011101110, 10101010101010, 1111111111111110, 101111111111111010, 11101111111111101110, 1010101111111110101010, 111111101111111011111110, 10111110101111101011111010, 1110111011101110111011101110

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=165; 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. A266754.

Sequence in context: A001155 A001391 A049064 * A355316 A266589 A015026

Adjacent sequences: A267243 A267244 A267245 * A267247 A267248 A267249

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved