A267364 Binary representation of the n-th iteration of the "Rule 126" elementary cellular automaton starting with a single ON (black) cell.

1, 111, 11011, 1111111, 110000011, 11110001111, 1100110110011, 111111111111111, 11000000000000011, 1111000000000001111, 110011000000000110011, 11111111000000011111111, 1100000011000001100000011, 111100001111000111100001111, 11001100110011011001100110011

Offset: 0

Author

Robert Price, Jan 13 2016

Keywords

• nonn
• easy

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

Crossrefs

Cf. A071035.

Programs

Mathematica

rule=126; 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 *)