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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 (list; graph; refs; listen; history; text; internal format)
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 A001357

Adjacent sequences:  A266894 A266895 A266896 * A266898 A266899 A266900

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 05 2016

STATUS

approved

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Last modified February 21 20:03 EST 2019. Contains 320377 sequences. (Running on oeis4.)