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 A194462 Numbers n such that sum{- : 1<=k<=n}>0, where r=(1+sqrt(5))/2 and c=(-1+sqrt(5))/4, and < > denotes fractional part. 1
 1, 2, 4, 5, 7, 10, 13, 14, 15, 17, 18, 20, 23, 26, 27, 28, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 59, 60, 62, 65, 68, 69, 70, 72, 73, 75, 78, 81, 82, 83, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 98, 99, 101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194368. LINKS MATHEMATICA r = GoldenRatio; c = (1/2) FractionalPart[r]; 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]]  (* A184461 *) t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 200}]; Flatten[Position[t3, 1]]  (* A184462 *) CROSSREFS Cf. A194368. Sequence in context: A058212 A007997 A123120 * A163267 A036559 A083022 Adjacent sequences:  A194459 A194460 A194461 * A194463 A194464 A194465 KEYWORD nonn AUTHOR Clark Kimberling, Aug 24 2011 STATUS approved

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