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A100706 Bisection of A002275. 8
1, 111, 11111, 1111111, 111111111, 11111111111, 1111111111111, 111111111111111, 11111111111111111, 1111111111111111111, 111111111111111111111, 11111111111111111111111 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also the binary representation of the n-th iteration of the elementary cellular automaton starting with a single ON (black) cell for Rules 151, 159, 183, 191, 215, 222, 223, 247, 254 and 255. - Robert Price, Feb 21 2016

The aerated sequence 1, 0, 111, 0, 11111, 0, 1111111, ... is a linear divisibility sequence of order 4. It is the case P1 = 0, P2 = -9^2, Q = -10 of the 3-parameter family of 4th-order linear divisibility sequences found by Williams and Guy. Cf. A007583, A095372 and A299960. - Peter Bala, Aug 28 2019

REFERENCES

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

LINKS

Table of n, a(n) for n=0..11.

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

H. C. Williams and R. K. Guy, Some fourth-order linear divisibility sequences, Intl. J. Number Theory 7 (5) (2011) 1255-1277.

H. C. Williams and R. K. Guy, Some Monoapparitic Fourth Order Linear Divisibility Sequences Integers, Volume 12A (2012) The John Selfridge Memorial Volume

S. Wolfram, A New Kind of Science

Index to Elementary Cellular Automata

Index entries for sequences related to cellular automata

FORMULA

1 repeated 2n+1 times.

O.g.f.: (1+10x)/[(-1+x)(-1+100x)]. - R. J. Mathar, Apr 03 2008

MAPLE

seq((10^(2*n+1) - 1)/9, n=0..15); # C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005

MATHEMATICA

Table[(10^(2*n + 1) - 1)/9, {n, 0, 100}] (* Robert Price, Feb 21 2016 *)

CROSSREFS

Cf. A007583, A095372, A299960.

Sequence in context: A265379 A265688 A138146 * A259102 A262629 A111864

Adjacent sequences:  A100703 A100704 A100705 * A100707 A100708 A100709

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 19 2004

EXTENSIONS

More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005

STATUS

approved

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Last modified August 11 09:52 EDT 2020. Contains 336423 sequences. (Running on oeis4.)