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 A189094 Zero-one sequence based on floor(sqrt(6)): a(A022840(k))=a(k); a(A138235(k))=1-a(k); a(1)=0. 3
 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 LINKS Table of n, a(n) for n=1..135. EXAMPLE Let u=A022840=(Beatty sequence for sqrt(6)) and v=A138235=(complement of u). Then A189094 is the sequence a given by a(1)=0 and a(u(k))=a(k); a(v(k))=1-a(k). MATHEMATICA r=6^(1/2); u[n_] := Floor[n*r]; (*A022840*) a[1] = 0; h = 128; c = (u[#1] &) /@ Range[2h]; d = (Complement[Range[Max[#1]], #1] &)[c]; (*A138235*) Table[a[d[[n]]] = 1 - a[n], {n, 1, h - 1}]; (*A189094*) Table[a[c[[n]]] = a[n], {n, 1, h}] (*A189094*) Flatten[Position[%, 0]] (*A189095*) Flatten[Position[%%, 1]] (*A189096*) CROSSREFS A188967, A189095, A189096. Sequence in context: A262808 A217206 A189097 * A041004 A141736 A190188 Adjacent sequences: A189091 A189092 A189093 * A189095 A189096 A189097 KEYWORD nonn AUTHOR Clark Kimberling, Apr 16 2011 STATUS approved

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Last modified September 23 19:57 EDT 2023. Contains 365554 sequences. (Running on oeis4.)