A266896 Binary representation of the middle column of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.

1, 10, 100, 1000, 10001, 100011, 1000110, 10001100, 100011001, 1000110010, 10001100101, 100011001010, 1000110010100, 10001100101001, 100011001010011, 1000110010100110, 10001100101001100, 100011001010011000, 1000110010100110001, 10001100101001100011

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

Mathematica

rule=75; 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. A266892.

Sequence in context: A273495 A267044 A266445 * A282981 A282951 A281146

Adjacent sequences: A266893 A266894 A266895 * A266897 A266898 A266899

Keyword

nonn,easy

Author

Robert Price, Jan 05 2016

Status

approved