A266381 Binary representation of the n-th iteration of the "Rule 22" elementary cellular automaton starting with a single ON (black) cell.

1, 111, 10001, 1110111, 100000001, 11100000111, 1000100010001, 111011101110111, 10000000000000001, 1110000000000000111, 100010000000000010001, 11101110000000001110111, 1000000010000000100000001, 111000001110000011100000111, 10001000100010001000100010001

Offset: 0

Author

Robert Price, Dec 28 2015

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. A071029.

Programs

Mathematica

rule=22; 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 *)