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A099814 Bisection of A002275. 5
0, 11, 1111, 111111, 11111111, 1111111111, 111111111111, 11111111111111, 1111111111111111, 111111111111111111, 11111111111111111111, 1111111111111111111111, 111111111111111111111111, 11111111111111111111111111, 1111111111111111111111111111, 111111111111111111111111111111, 11111111111111111111111111111111 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Except for the first term (replace 0 with 1) this is the binary representation of the n-th iteration of the elementary cellular automaton starting with a single ON (black) cell for Rule 189. - Robert Price, Feb 21 2016

LINKS

Table of n, a(n) for n=0..16.

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

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

Index to Elementary Cellular Automata

Index entries for sequences related to cellular automata

Index entries for linear recurrences with constant coefficients, signature (101,-100).

FORMULA

For n>0, 1 repeated 2n times.

a(n) = a(n-1) + 11*100^(n-1) with a(0)=0. - Vincenzo Librandi, Nov 16 2010

MATHEMATICA

Table[(10^(2n) - 1)/9, {n, 0, 20}] (* Stefan Steinerberger, Apr 29 2006 *)

Table[FromDigits[PadRight[{}, 2n, 1]], {n, 0, 20}] (* Harvey P. Dale, Jul 20 2015 *)

CROSSREFS

Cf. A002275, A100706 (other bisection).

Sequence in context: A289968 A248753 A248754 * A340549 A260077 A068053

Adjacent sequences:  A099811 A099812 A099813 * A099815 A099816 A099817

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 19 2004

EXTENSIONS

More terms from Stefan Steinerberger, Apr 29 2006

STATUS

approved

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Last modified April 18 02:15 EDT 2021. Contains 343072 sequences. (Running on oeis4.)