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A194399
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Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - <k*r>) = 0, where r=sqrt(15) and < > denotes fractional part.
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4
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6, 8, 14, 16, 22, 24, 30, 32, 38, 40, 46, 48, 54, 56, 62, 70, 78, 86, 94, 102, 110, 118, 314, 322, 330, 338, 346, 354, 362, 370, 376, 378, 384, 386, 392, 394, 400, 402, 408, 410, 416, 418, 424, 426, 432, 434, 438, 442, 446, 450, 454, 458, 462, 466, 470
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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r = Sqrt[15]; 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]] (* A194398 *)
t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 800}];
Flatten[Position[t2, 1]] (* A194399 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 800}];
Flatten[Position[t3, 1]] (* A194400 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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