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A194400
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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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7, 15, 23, 31, 39, 47, 55, 377, 385, 393, 401, 409, 417, 425, 433, 439, 440, 441, 447, 448, 449, 455, 456, 457, 463, 464, 465, 471, 472, 473, 479, 480, 481, 487, 488, 489, 495, 503, 511, 519, 527, 535, 543, 551
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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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