A267590 Number of ON (black) cells in the n-th iteration of the "Rule 169" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 2, 3, 6, 7, 9, 9, 14, 15, 17, 18, 21, 22, 24, 24, 30, 31, 33, 34, 37, 38, 40, 40, 45, 45, 47, 47, 51, 51, 53, 51, 62, 63, 65, 66, 69, 70, 72, 72, 77, 78, 80, 81, 84, 85, 87, 87, 93, 94, 96, 97, 100, 101, 103, 103, 108, 108, 110, 110, 114, 114, 116, 114

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

Crossrefs

Cf. A264442.

Sequence in context: A215488 A110920 A296414 * A145266 A188078 A188094

Adjacent sequences: A267587 A267588 A267589 * A267591 A267592 A267593

Keyword

nonn,easy

Author

Robert Price, Jan 18 2016

Status

approved