|
|
A266899
|
|
Total number of ON (black) cells after n iterations of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.
|
|
1
|
|
|
1, 2, 5, 9, 14, 19, 24, 33, 40, 50, 58, 72, 82, 99, 109, 127, 140, 159, 173, 197, 214, 241, 256, 284, 303, 336, 350, 389, 411, 446, 470, 506, 532, 572, 596, 646, 673, 715, 747, 795, 825, 882, 911, 967, 1003, 1061, 1099, 1157, 1191, 1261, 1293, 1361, 1406
(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=75; 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
|
|
|
|