A267148 Number of ON (black) cells in the n-th iteration of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 3, 2, 3, 2, 5, 4, 3, 10, 9, 8, 5, 12, 11, 10, 3, 26, 9, 24, 9, 16, 15, 14, 5, 36, 15, 30, 11, 26, 21, 20, 3, 58, 9, 56, 9, 48, 15, 46, 9, 56, 27, 42, 15, 46, 33, 32, 5, 84, 15, 78, 15, 62, 25, 56, 11, 82, 33, 64, 21, 60, 43, 42, 3, 122, 9, 120, 9, 112

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

Crossrefs

Cf. A267145.

Sequence in context: A092962 A258778 A112924 * A367682 A230406 A362688

Adjacent sequences: A267145 A267146 A267147 * A267149 A267150 A267151

Keyword

nonn,easy

Author

Robert Price, Jan 11 2016

Status

approved