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A194464
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Numbers n such that sum{<c+k*r>-<k*r> : 1<=k<=n}>0, where r=(1+sqrt(5))/2 and c=(1+sqrt(5))/4, and < > denotes fractional part.
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1
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5, 10, 13, 14, 15, 18, 19, 20, 26, 31, 34, 35, 36, 39, 40, 41, 47, 52, 68, 73, 89, 94, 99, 102, 103, 104, 107, 108, 109, 115, 120, 123, 124, 125, 128, 129, 130, 136, 141, 157, 162, 178, 183, 188, 191, 192, 193, 196, 197, 198, 204, 209, 212, 213, 214, 217
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OFFSET
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1,1
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COMMENTS
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See A194368.
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LINKS
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Table of n, a(n) for n=1..56.
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MATHEMATICA
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r = GoldenRatio; c = FractionalPart[r/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]] (* A184463 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 200}];
Flatten[Position[t3, 1]] (* A184464 *)
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CROSSREFS
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Cf. A194368.
Sequence in context: A087920 A103676 A129846 * A192336 A001974 A224448
Adjacent sequences: A194461 A194462 A194463 * A194465 A194466 A194467
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Aug 24 2011
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STATUS
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approved
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