A267608 Binary representation of the n-th iteration of the "Rule 182" elementary cellular automaton starting with a single ON (black) cell.

1, 111, 10101, 1111111, 101111101, 11101110111, 1010101010101, 111111111111111, 10111111111111101, 1110111111111110111, 101010111111111010101, 11111110111111101111111, 1011111010111110101111101, 111011101110111011101110111, 10101010101010101010101010101

Offset: 0

Author

Robert Price, Jan 18 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. A071038.

Programs

Mathematica

rule=182; 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 *)