A266897 Decimal representation of the middle column of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.

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.

Links

Robert Price, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

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

Adjacent sequences: A266894 A266895 A266896 * A266898 A266899 A266900

Keyword

nonn,easy

Author

Robert Price, Jan 05 2016

Status

approved