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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
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
Sequence in context: A215581 A156595 A286493 * A143222 A286490 A372728
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 16 2011
STATUS
approved

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Last modified July 13 01:42 EDT 2024. Contains 374259 sequences. (Running on oeis4.)