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 A194386 Numbers n such that sum{<1/2+k*r>- : 1<=k<=n}>0, where r=sqrt(10) and < > denotes fractional part. 4
 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194368. LINKS MATHEMATICA r = Sqrt[10]; c = 1/2; x[n_] := Sum[FractionalPart[k*r], {k, 1, n}] y[n_] := Sum[FractionalPart[c + k*r], {k, 1, n}] t1 = Table[If[y[n] < x[n], 1, 0], {n, 1, 300}]; Flatten[Position[t1, 1]]   (* empty *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 400}]; Flatten[Position[t2, 1]]     (* A194385 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}]; Flatten[Position[t3, 1]]     (* A194386 *) CROSSREFS Cf. A194368. Sequence in context: A108120 A108586 A184522 * A187390 A039215 A047253 Adjacent sequences:  A194383 A194384 A194385 * A194387 A194388 A194389 KEYWORD nonn AUTHOR Clark Kimberling, Aug 23 2011 STATUS approved

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Last modified March 26 12:43 EDT 2019. Contains 321497 sequences. (Running on oeis4.)