A266624 Binary representation of the middle column of the "Rule 45" elementary cellular automaton starting with a single ON (black) cell.

1, 11, 111, 1110, 11100, 111001, 1110011, 11100110, 111001100, 1110011001, 11100110010, 111001100101, 1110011001011, 11100110010111, 111001100101110, 1110011001011101, 11100110010111011, 111001100101110110, 1110011001011101101, 11100110010111011011

Offset

0,2

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

G. C. Greubel, Table of n, a(n) for n = 0..249

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=45; 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 *) mc=Table[catri[[k]][[k]], {k, 1, rows}]; (* Keep only middle cell from each row *) Table[FromDigits[Take[mc, k]], {k, 1, rows}]  (* Binary Representation of Middle Column *)

Crossrefs

Cf. A266619.

Sequence in context: A284399 A284540 A110437 * A266790 A266592 A267209

Adjacent sequences: A266621 A266622 A266623 * A266625 A266626 A266627

Keyword

nonn,easy

Author

Robert Price, Jan 01 2016

Status

approved