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A266897
Decimal representation of the middle column of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.
1
1, 2, 4, 8, 17, 35, 70, 140, 281, 562, 1125, 2250, 4500, 9001, 18003, 36006, 72012, 144024, 288049, 576099, 1152199, 2304398, 4608797, 9217595, 18435190, 36870380, 73740760, 147481521, 294963043, 589926086, 1179852173, 2359704346, 4719408693, 9438817386
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 *) mc=Table[catri[[k]][[k]], {k, 1, rows}]; (* Keep only middle cell from each row *) Table[FromDigits[Take[mc, k], 2], {k, 1, rows}] (* Binary Representation of Middle Column *)
CROSSREFS
Cf. A266892.
Sequence in context: A214083 A026743 A026392 * A018094 A293331 A309908
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 05 2016
STATUS
approved