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A102744
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Integers that do not appear in the sequence (A102722) given by the floor of the sum of {n/k} while k=1,...,n. Here {x}:=x-[x].
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0
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3, 12, 37, 57, 60, 70, 75, 85, 89, 92, 131, 147, 161, 166, 177, 181, 182, 194, 200, 211, 224, 228, 233, 242, 244, 255, 259, 260, 265, 269, 271, 281, 285, 293, 294, 321, 325, 329, 336, 343, 364, 367, 394, 402, 415, 425, 435, 445, 464, 465, 484, 499, 522, 531
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..54.
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MATHEMATICA
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Resto = Function[n, Sum[n/k - Floor[n/k], {k, 1, n}]]; oops = Floor[Map[Resto, Range[1, 10000]]]; Complement[Range[Max[oops]], Union[oops]]
f[n_] := Floor[Plus @@ FractionalPart[n/Range[2, n - 1]]]; t = {}; Do[ a = f[n]; If[ Position[t, a] == {}, AppendTo[t, a]], {n, 1500}]; Take[ Complement[ Range[ Max[ t]], t], 60] (from Robert G. Wilson v Feb 19 2005)
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CROSSREFS
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Cf. A103504. This is the complement of A102722.
Sequence in context: A074430 A064028 A110950 * A145951 A083215 A211958
Adjacent sequences: A102741 A102742 A102743 * A102745 A102746 A102747
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KEYWORD
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nonn
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AUTHOR
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Carlos Alves (cjsalves(AT)gmail.com), Feb 08 2005
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EXTENSIONS
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Edited and corrected by Robert G. Wilson v, Feb 19 2005
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STATUS
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approved
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