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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
OFFSET
0,2
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
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
Cf. A266892.
Sequence in context: A235333 A060139 A373799 * A112265 A025281 A160663
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 05 2016
STATUS
approved