A267592 Number of OFF (white) cells in the n-th iteration of the "Rule 169" elementary cellular automaton starting with a single ON (black) cell.

0, 3, 3, 4, 3, 4, 4, 6, 3, 4, 4, 5, 4, 5, 5, 7, 3, 4, 4, 5, 4, 5, 5, 7, 4, 6, 6, 8, 6, 8, 8, 12, 3, 4, 4, 5, 4, 5, 5, 7, 4, 5, 5, 6, 5, 6, 6, 8, 4, 5, 5, 6, 5, 6, 6, 8, 5, 7, 7, 9, 7, 9, 9, 13, 3, 4, 4, 5, 4, 5, 5, 7, 4, 5, 5, 6, 5, 6, 6, 8, 4, 5, 5, 6, 5, 6

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=169; 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 *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) Table[Length[catri[[k]]]-nbc[[k]], {k, 1, rows}] (* Number of White cells in stage n *)

Crossrefs

Cf. A264442.

Sequence in context: A046537 A167596 A216190 * A243341 A238856 A096139

Adjacent sequences: A267589 A267590 A267591 * A267593 A267594 A267595

Keyword

nonn,easy

Author

Robert Price, Jan 18 2016

Status

approved