A266384 Total number of OFF (white) cells after n iterations of the "Rule 22" elementary cellular automaton starting with a single ON (black) cell.

0, 0, 3, 4, 11, 16, 25, 28, 43, 56, 73, 84, 105, 120, 141, 148, 179, 208, 241, 268, 305, 336, 373, 396, 441, 480, 525, 556, 605, 640, 685, 700, 763, 824, 889, 948, 1017, 1080, 1149, 1204, 1281, 1352, 1429, 1492, 1573, 1640, 1717, 1764, 1857, 1944, 2037, 2116

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

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Mathematica

rule = 22; rows = 60; 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. A071029.

Sequence in context: A041020 A041527 A290493 * A248825 A001641 A007382

Adjacent sequences: A266381 A266382 A266383 * A266385 A266386 A266387

Keyword

nonn,easy

Author

Robert Price, Dec 28 2015

Status

approved