A267516 Number of ON (black) cells in the n-th iteration of the "Rule 137" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 2, 2, 6, 6, 7, 7, 12, 13, 13, 15, 17, 16, 18, 18, 24, 24, 26, 26, 27, 27, 31, 33, 36, 38, 36, 33, 37, 43, 44, 39, 46, 53, 50, 46, 55, 55, 52, 55, 62, 59, 54, 60, 63, 67, 71, 63, 66, 71, 77, 74, 71, 77, 78, 74, 79, 81, 81, 84, 87, 88, 89, 84, 89, 95, 95

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[Total[catri[[k]]], {k, 1, rows}] (* Number of Black cells in stage n *)

Crossrefs

Cf. A267463.

Sequence in context: A178801 A130493 A354638 * A163118 A319010 A010762

Adjacent sequences: A267513 A267514 A267515 * A267517 A267518 A267519

Keyword

nonn,easy

Author

Robert Price, Jan 16 2016

Status

approved