A267582 Number of ON (black) cells in the n-th iteration of the "Rule 167" elementary cellular automaton starting with a single ON (black) cell.

1, 2, 3, 5, 5, 9, 9, 11, 9, 17, 17, 19, 17, 23, 21, 23, 17, 33, 33, 35, 33, 39, 37, 39, 33, 47, 45, 47, 41, 51, 45, 47, 33, 65, 65, 67, 65, 71, 69, 71, 65, 79, 77, 79, 73, 83, 77, 79, 65, 95, 93, 95, 89, 99, 93, 95, 81, 107, 101, 103, 89, 107, 93, 95, 65

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=167; 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. A267576.

Sequence in context: A128188 A318636 A366975 * A360072 A139127 A239143

Adjacent sequences: A267579 A267580 A267581 * A267583 A267584 A267585

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved