A267593 Total number of OFF (white) cells after n iterations of the "Rule 169" elementary cellular automaton starting with a single ON (black) cell.

0, 3, 6, 10, 13, 17, 21, 27, 30, 34, 38, 43, 47, 52, 57, 64, 67, 71, 75, 80, 84, 89, 94, 101, 105, 111, 117, 125, 131, 139, 147, 159, 162, 166, 170, 175, 179, 184, 189, 196, 200, 205, 210, 216, 221, 227, 233, 241, 245, 250, 255, 261, 266, 272, 278, 286, 291

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

Crossrefs

Cf. A264442.

Sequence in context: A288205 A049880 A276219 * A248221 A189368 A128039

Adjacent sequences: A267590 A267591 A267592 * A267594 A267595 A267596

Keyword

nonn,easy

Author

Robert Price, Jan 18 2016

Status

approved