A267444 Decimal representation of the middle column of the "Rule 129" elementary cellular automaton starting with a single ON (black) cell.

1, 2, 5, 10, 21, 43, 87, 174, 349, 699, 1399, 2799, 5599, 11199, 22399, 44798, 89597, 179195, 358391, 716783, 1433567, 2867135, 5734271, 11468543, 22937087, 45874175, 91748351, 183496703, 366993407, 733986815, 1467973631, 2935947262, 5871894525, 11743789051

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=129; 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], 2], {k, 1, rows}]  (* Binary Representation of Middle Column *)

Crossrefs

Cf. A267417.

Sequence in context: A032283 A266248 A027437 * A267880 A101510 A066819

Adjacent sequences: A267441 A267442 A267443 * A267445 A267446 A267447

Keyword

nonn,easy

Author

Robert Price, Jan 15 2016

Status

approved