A267357 Decimal representation of the n-th iteration of the "Rule 124" elementary cellular automaton starting with a single ON (black) cell.

1, 3, 7, 11, 31, 35, 103, 235, 383, 899, 1415, 3979, 4511, 13219, 30183, 48747, 116479, 184067, 512775, 587531, 1653535, 3890979, 6284135, 14706667, 23128191, 65108099, 73636231, 216382347, 493870495, 804319139, 1882288615, 2960372331, 8333424383, 9428680451

Offset: 0

Author

Robert Price, Jan 13 2016

Keywords

• nonn
• easy

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

Crossrefs

Cf. A267355.

Programs

Mathematica

rule=124; 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]],2],{k,1,rows}]   (* Decimal Representation of Rows *)