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A194372
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Numbers m such that Sum_{k=1..m} (<1/2 + k*r> - <k*r>) = 0, where r=sqrt(3) and < > denotes fractional part.
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4
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2, 4, 6, 8, 10, 12, 14, 18, 22, 26, 28, 30, 32, 34, 36, 38, 40, 42, 46, 50, 54, 56, 58, 60, 62, 64, 66, 68, 70, 74, 78, 82, 84, 86, 88, 90, 92, 94, 96, 98, 102, 106, 110, 112, 114, 116, 118, 120, 122, 124, 126, 130, 134, 138, 140, 142, 144, 146, 148, 150, 152
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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[3]; 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]] (* A194371 *)
t2 = Table[If[y[n] == x[n], 1, 0], {n, 1, 800}];
Flatten[Position[t2, 1]] (* A194372 *)
t3 = Table[If[y[n] > x[n], 1, 0], {n, 1, 100}];
Flatten[Position[t3, 1]] (* A194373 *)
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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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