A267925 Binary representation of the n-th iteration of the "Rule 246" elementary cellular automaton starting with a single ON (black) cell.

1, 111, 10111, 1110111, 101110111, 11101110111, 1011101110111, 111011101110111, 10111011101110111, 1110111011101110111, 101110111011101110111, 11101110111011101110111, 1011101110111011101110111, 111011101110111011101110111, 10111011101110111011101110111

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

Formula

Conjectures from Colin Barker, Jan 23 2016 and Apr 20 2019: (Start)

a(n) = a(n-1)+10000*a(n-2)-10000*a(n-3) for n>2.

G.f.: (1+110*x) / ((1-x)*(1-100*x)*(1+100*x)).

(End)

Mathematica

rule=246; 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. A071041.

Sequence in context: A267608 A244663 A267804 * A286504 A286404 A287130

Adjacent sequences: A267922 A267923 A267924 * A267926 A267927 A267928

Keyword

nonn,easy

Author

Robert Price, Jan 22 2016

Status

approved