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A267925 Binary representation of the n-th iteration of the "Rule 246" elementary cellular automaton starting with a single ON (black) cell. 1
1, 111, 10111, 1110111, 101110111, 11101110111, 1011101110111, 111011101110111, 10111011101110111, 1110111011101110111, 101110111011101110111, 11101110111011101110111, 1011101110111011101110111, 111011101110111011101110111, 10111011101110111011101110111 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
LINKS
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
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
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 22 2016
STATUS
approved

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Last modified June 15 02:25 EDT 2024. Contains 373402 sequences. (Running on oeis4.)