A266621 Binary representation of the n-th iteration of the "Rule 45" elementary cellular automaton starting with a single ON (black) cell.

1, 10, 1111, 1010000, 1101101, 11010110110, 1111011011, 111010001101100, 1101010110001, 1111010111111001010, 1111000000011111, 11111010000111110100000, 1101101000011011101, 111111010110110110101100110, 1111011011011110001011, 1111111010001101101100001011100

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 *) Table[FromDigits[catri[[k]]], {k, 1, rows}]   (* Binary Representation of Rows *)

Crossrefs

Cf. A266619.

Sequence in context: A015026 A130598 A267595 * A110731 A223119 A233252

Adjacent sequences: A266618 A266619 A266620 * A266622 A266623 A266624

Keyword

nonn,easy

Author

Robert Price, Jan 01 2016

Status

approved