A267150 Number of OFF (white) cells in the n-th iteration of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.

0, 3, 2, 5, 6, 9, 8, 11, 14, 9, 12, 15, 20, 15, 18, 21, 30, 9, 28, 15, 32, 27, 30, 33, 44, 15, 38, 25, 46, 33, 40, 43, 62, 9, 60, 15, 64, 27, 62, 33, 72, 27, 58, 45, 74, 45, 60, 63, 92, 15, 86, 25, 90, 45, 84, 55, 102, 33, 84, 55, 100, 63, 82, 85, 126, 9

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=105; 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. A267145.

Sequence in context: A277680 A303764 A079973 * A055922 A194072 A194105

Adjacent sequences: A267147 A267148 A267149 * A267151 A267152 A267153

Keyword

nonn,easy

Author

Robert Price, Jan 11 2016

Status

approved