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

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

Keywords

• nonn

Comments

See A038184 for decimal equivalents.

References

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

Links

• 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

Crossrefs

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

See A071053 for number of ON cells.

Programs

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 *)