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A266070 Middle column of the "Rule 3" elementary cellular automaton starting with a single ON (black) cell. 4
1, 0, 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, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

REFERENCES

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

LINKS

Robert Price, Table of n, a(n) for n = 0..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

FORMULA

G.f.: (-1 + x^2 - x^3)/(-1 + x^2). - Michael De Vlieger, Dec 21 2015

EXAMPLE

From Michael De Vlieger, Dec 21 2015: (Start)

First 8 rows at right, the center column values in parentheses are the values of the terms of this sequence at left:

a(1)                (1)

a(2)              1 (0) 0

a(3)            0 0 (0) 1 0

a(4)          1 1 1 (1) 0 0 1

a(5)        0 0 0 0 (0) 0 1 0 0

a(6)      1 1 1 1 1 (1) 1 0 0 1 1

a(7)    0 0 0 0 0 0 (0) 0 0 1 0 0 0

a(8)  1 1 1 1 1 1 1 (1) 1 1 0 0 1 1 1

(End)

MATHEMATICA

Table[SeriesCoefficient[(-1 + x^2 - x^3)/(-1 + x^2), {x, 0, n}], {n, 0, 120}] (* Michael De Vlieger, Dec 21 2015 *)

CROSSREFS

Sequence in context: A004641 A266441 A266672 * A262855 A204171 A267612

Adjacent sequences:  A266067 A266068 A266069 * A266071 A266072 A266073

KEYWORD

nonn,easy

AUTHOR

Robert Price, Dec 20 2015

STATUS

approved

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Last modified January 20 05:27 EST 2020. Contains 331067 sequences. (Running on oeis4.)