A267449 Binary representation of the n-th iteration of the "Rule 131" elementary cellular automaton starting with a single ON (black) cell.

1, 100, 10010, 1001000, 100100110, 10010010000, 1001001001110, 100100100101000, 10010010010000110, 1001001001001110000, 100100100100101001110, 10010010010010000101000, 1001001001001001110000110, 100100100100100101001110000, 10010010010010010000101001110

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

Empirical g.f.: (1+10*x^2-1000*x^3+109*x^4-11000*x^5+1100*x^6-119000*x^7+900000*x^8) / ((1-x)*(1+x)*(1-10*x)*(1-100*x)*(1+x^2)*(1+10*x+100*x^2)). - Colin Barker, Jan 15 2016 and Apr 19 2019

Mathematica

rule=131; 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. A267418.

Sequence in context: A098608 A045799 A096885 * A266752 A267523 A027576

Adjacent sequences: A267446 A267447 A267448 * A267450 A267451 A267452

Keyword

nonn

Author

Robert Price, Jan 15 2016

Status

approved