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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 23 20:23 EDT 2019. Contains 323528 sequences. (Running on oeis4.)