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A189084 Zero-one sequence based on floor(sqrt(3)):  a(A022838(k))=a(k); a(A054406(k))=1-a(k); a(1)=0. 3
0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

Table of n, a(n) for n=1..135.

EXAMPLE

Let u=A022838=(Beatty sequence for sqrt(3)) and v=A054406=(complement of u).  Then A189084 is the sequence a given by a(1)=0 and a(u(k))=a(k); a(v(k))=1-a(k).

MATHEMATICA

r=3^(1/2); u[n_] := Floor[n*r];  (*A022838*)

a[1] = 0; h = 128;

c = (u[#1] &) /@ Range[2h];

d = (Complement[Range[Max[#1]], #1] &)[c]; (*A054406*)

Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189084*)

Table[a[c[[n]]] = a[n], {n, 1, h}]   (*A189084*)

Flatten[Position[%, 0]]  (*A189085*)

Flatten[Position[%%, 1]] (*A189086*)

CROSSREFS

Cf. A188967, A189085, A189086.

Sequence in context: A215581 A156595 A286493 * A143222 A286490 A217831

Adjacent sequences:  A189081 A189082 A189083 * A189085 A189086 A189087

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 16 2011

STATUS

approved

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Last modified April 23 06:30 EDT 2021. Contains 343199 sequences. (Running on oeis4.)