A267151 Total number of OFF (white) cells after n iterations of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.

0, 3, 5, 10, 16, 25, 33, 44, 58, 67, 79, 94, 114, 129, 147, 168, 198, 207, 235, 250, 282, 309, 339, 372, 416, 431, 469, 494, 540, 573, 613, 656, 718, 727, 787, 802, 866, 893, 955, 988, 1060, 1087, 1145, 1190, 1264, 1309, 1369, 1432, 1524, 1539, 1625, 1650

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 *) 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. A267145.

Sequence in context: A287563 A184800 A350237 * A209008 A032279 A070558

Adjacent sequences: A267148 A267149 A267150 * A267152 A267153 A267154

Keyword

nonn,easy

Author

Robert Price, Jan 11 2016

Status

approved