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

0,2

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=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 *)

Crossrefs

Cf. A071029.

Sequence in context: A286731 A286771 A284208 * A118109 A265280 A267275

Adjacent sequences: A266378 A266379 A266380 * A266382 A266383 A266384

Keyword

nonn,easy

Author

Robert Price, Dec 28 2015

Status

approved