A267645 Binary representation of the n-th iteration of the "Rule 193" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 10100, 1100000, 111011100, 11110011000, 1111100010100, 111111010000000, 11111110001111100, 1111111101001111000, 111111111000001110100, 11111111110111001100000, 1111111111100110001011100, 111111111111000101000011000, 11111111111110100000110010100

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=193; 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. A267636.

Sequence in context: A267057 A213182 A213184 * A267842 A193241 A265122

Adjacent sequences: A267642 A267643 A267644 * A267646 A267647 A267648

Keyword

nonn,easy

Author

Robert Price, Jan 18 2016

Status

approved