A267366 Binary representation of the middle column of the "Rule 126" elementary cellular automaton starting with a single ON (black) cell.

1, 11, 110, 1101, 11010, 110100, 1101000, 11010001, 110100010, 1101000100, 11010001000, 110100010000, 1101000100000, 11010001000000, 110100010000000, 1101000100000001, 11010001000000010, 110100010000000100, 1101000100000001000, 11010001000000010000

Offset

0,2

Comments

The middle column itself is A036987. [Noticed by Dominik Koeppl, Oct 21 2022]

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=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 *) 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. A267367 (decimal), A071035, A036987, A209229.

Sequence in context: A278819 A274474 A272609 * A101556 A266219 A267580

Adjacent sequences: A267363 A267364 A267365 * A267367 A267368 A267369

Keyword

nonn,easy

Author

Robert Price, Jan 13 2016

Status

approved