A266719 - OEIS

A266719

Middle column of the "Rule 59" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1

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OFFSET

COMMENTS

Decimal expansion of 10009/99000. - Elmo R. Oliveira, Oct 10 2025

LINKS

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

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton.

Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Index entries for sequences related to cellular automata.

Index to Elementary Cellular Automata.

Index entries for linear recurrences with constant coefficients, signature (0,1).

FORMULA

a(n+1) = A266591(n), n>0. - R. J. Mathar, Jan 17 2016

From Elmo R. Oliveira, Oct 10 2025: (Start)

G.f.: (1 + x^3 - x^4)/(1-x^2).

E.g.f.: sinh(x) + 1 - x + x^2/2. (End)

MATHEMATICA

rule=59; 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 *) Table[catri[[k]][[k]], {k, 1, rows}] (* Keep only middle cell from each row *)

CROSSREFS

Cf. A266591, A266716, A266720, A266721.

Sequence in context: A023960 A129686 A104974 * A024711 A286990 A249866

Adjacent sequences: A266716 A266717 A266718 * A266720 A266721 A266722

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 03 2016

STATUS

approved