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A267591
Total number of ON (black) cells after n iterations of the "Rule 169" elementary cellular automaton starting with a single ON (black) cell.
1
1, 1, 3, 6, 12, 19, 28, 37, 51, 66, 83, 101, 122, 144, 168, 192, 222, 253, 286, 320, 357, 395, 435, 475, 520, 565, 612, 659, 710, 761, 814, 865, 927, 990, 1055, 1121, 1190, 1260, 1332, 1404, 1481, 1559, 1639, 1720, 1804, 1889, 1976, 2063, 2156, 2250, 2346
OFFSET
0,3
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
MATHEMATICA
rule=169; 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. A264442.
Sequence in context: A074899 A345868 A318872 * A101423 A263511 A180622
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 18 2016
STATUS
approved