|
|
A266627
|
|
Total number of ON (black) cells after n iterations of the "Rule 45" elementary cellular automaton starting with a single ON (black) cell.
|
|
1
|
|
|
1, 2, 6, 8, 13, 20, 28, 36, 43, 56, 65, 77, 88, 106, 121, 139, 153, 176, 192, 214, 229, 259, 282, 305, 325, 361, 379, 409, 441, 471, 501, 535, 563, 600, 633, 677, 704, 756, 781, 834, 866, 913, 951, 1005, 1033, 1095, 1131, 1188, 1226, 1287, 1330, 1389, 1428
(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
|
|
|
MATHEMATICA
|
rule=45; 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[Total[Take[nbc, k]], {k, 1, rows}] (* Number of Black cells through stage n *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|