A267130 Binary representation of the n-th iteration of the "Rule 101" elementary cellular automaton starting with a single ON (black) cell.

1, 10, 11110, 101, 101101100, 1101101011, 1101101111000, 1101100010111, 10001101010110000, 101001111110101111, 111110000000111100000, 101111100001011111, 1011101100001011011000000, 11001101011011011010111111, 11010001111011011011110000000

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=101; 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. A267129.

Sequence in context: A138119 A327233 A138118 * A267850 A267206 A091253

Adjacent sequences: A267127 A267128 A267129 * A267131 A267132 A267133

Keyword

nonn,easy

Author

Robert Price, Jan 10 2016

Status

approved