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A267517
Total number of ON (black) cells after n iterations of the "Rule 137" elementary cellular automaton starting with a single ON (black) cell.
1
1, 1, 3, 5, 11, 17, 24, 31, 43, 56, 69, 84, 101, 117, 135, 153, 177, 201, 227, 253, 280, 307, 338, 371, 407, 445, 481, 514, 551, 594, 638, 677, 723, 776, 826, 872, 927, 982, 1034, 1089, 1151, 1210, 1264, 1324, 1387, 1454, 1525, 1588, 1654, 1725, 1802, 1876
OFFSET
0,3
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
MATHEMATICA
rule=137; 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. A267463.
Sequence in context: A200748 A063693 A258713 * A309427 A373965 A211435
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 16 2016
STATUS
approved