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 A194387 Numbers n such that sum{<1/2+k*r>- : 1<=k<=n}<0, where r=sqrt(11) and < > denotes fractional part. 4
 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 25, 27, 28, 29, 31, 47, 49, 50, 51, 53, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 85, 87, 88, 89, 91, 107, 109, 110, 111, 113, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 135, 145, 147, 148, 149, 151, 167, 169, 170 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194368. LINKS MATHEMATICA r = Sqrt[11]; 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, 200}]; Flatten[Position[t1, 1]]     (* A194387 *) t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 200}]; Flatten[Position[t2, 1]]     (* A194388 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 200}]; Flatten[Position[t3, 1]]     (* A194389 *) CROSSREFS Cf. A194368. Sequence in context: A138884 A008521 A039231 * A039175 A048293 A039129 Adjacent sequences:  A194384 A194385 A194386 * A194388 A194389 A194390 KEYWORD nonn AUTHOR Clark Kimberling, Aug 23 2011 STATUS approved

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Last modified May 20 08:36 EDT 2013. Contains 225458 sequences.