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 A194370 Numbers n such that sum{<1/2+k*r>- : 1<=k<=n}>0, where r=sqrt(2) and < > denotes fractional part. 3
 1, 3, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36, 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, 71, 73, 75, 76, 77, 78, 79, 80 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194368. LINKS MATHEMATICA r = Sqrt[2]; 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, 100}]; Flatten[Position[t1, 1]]  (* empty *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 800}]; Flatten[Position[t2, 1]] (* A194368 *) %/2 (* A194369 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}]; Flatten[Position[t3, 1]] (* A194370 *) CROSSREFS Cf. A194368. Sequence in context: A039175 A048293 A039129 * A039092 A289178 A212450 Adjacent sequences:  A194367 A194368 A194369 * A194371 A194372 A194373 KEYWORD nonn AUTHOR Clark Kimberling, Aug 23 2011 STATUS approved

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Last modified June 2 07:15 EDT 2020. Contains 334767 sequences. (Running on oeis4.)