

A267150


Number of OFF (white) cells in the nth 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}, rows1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rowsk+1, rows+k1}], {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



