A118110 State of one-dimensional cellular automaton 'sigma' (Rule 150): 000,001,010,011,100,101,110,111 -> 0,1,1,0,1,0,0,1 at generation n, when started with a single ON cell, regarded as a binary number.

1, 111, 10101, 1101011, 100010001, 11101110111, 1010001000101, 110110111011011, 10000000100000001, 1110000011100000111, 101010001010100010101, 11010110110101101101011, 1000100000001000000010001

Offset

0,2

Comments

See A038184 for decimal equivalents.

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

Table of n, a(n) for n=0..12.

Eric Weisstein's World of Mathematics, Rule 150

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index to Elementary Cellular Automata

Index entries for sequences related to cellular automata

Mathematica

rule = 150; rows = 20; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}] (* Robert Price, Feb 21 2016 *)

Crossrefs

This sequence, A038184 and A071036 are equivalent descriptions of the Rule 150 automaton.

See A071053 for number of ON cells.

Sequence in context: A267275 A135577 A153498 * A267608 A244663 A267804

Adjacent sequences: A118107 A118108 A118109 * A118111 A118112 A118113

Keyword

nonn

Author

Eric W. Weisstein, Apr 13 2006 and N. J. A. Sloane, Jul 28 2014, combined into one entry by N. J. A. Sloane, Oct 20 2015

Status

approved