A104106 - OEIS

A104106

a(1) = 1; thereafter, if A(k) = sequence of first 2^k -1 terms, then A(k+1) = A(k),1,A(k) if a(k) = 0, and A(k+1) = A(k),0,A(k) if a(k) = 1.

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

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

OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

Christian Krause, LODA program for A104106

FORMULA

a(n) = A089242(n) mod 2. - Christian Krause, Mar 19 2021

MAPLE

a:= Vector(2^9-1):

a[1]:= 1;

for k from 1 to 8 do

a[2^k]:= 1-a[k];

a[2^k+1..2^(k+1)-1]:= a[1..2^k-1]

od:

convert(a, list); # Robert Israel, May 07 2018

MATHEMATICA

f[l_]:=Join[l, 1-{l[[Log[2, Length[l]+1]]]}, l]; Nest[f, {1}, 7] (* Ray Chandler, Apr 05 2009 *)

CROSSREFS

Cf. A104104, A104105, A104107, A104108.

Cf. A089242.

Sequence in context: A257477 A259024 A323045 * A349167 A141260 A029883

Adjacent sequences: A104103 A104104 A104105 * A104107 A104108 A104109

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, Mar 04 2005

EXTENSIONS

Edited and extended by Ray Chandler, Apr 05 2009

STATUS

approved

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