A267512 Decimal representation of the n-th iteration of the "Rule 137" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 5, 3, 119, 207, 1311, 191, 31871, 62207, 377343, 211967, 7628799, 12750847, 87056383, 5128191, 2115600383, 4188078079, 25268453375, 15329394687, 506978631679, 866512797695, 5511502102527, 1050064977919, 138276212047871, 267395251830783

Offset

0,3

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=137; 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 *)

Crossrefs

Cf. A267463.

Sequence in context: A255599 A180403 A343582 * A230389 A048885 A264738

Adjacent sequences: A267509 A267510 A267511 * A267513 A267514 A267515

Keyword

nonn,easy

Author

Robert Price, Jan 16 2016

Status

approved