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A194329
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Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=n, r=2-sqrt(3).
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2
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1
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OFFSET
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1,12
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COMMENTS
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See A194285.
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LINKS
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Table of n, a(n) for n=1..100.
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EXAMPLE
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First eleven rows:
1
1..1
1..1..1
1..1..1..1
1..2..1..0..1
1..1..1..2..1..0
1..1..1..1..1..1..1
1..1..2..0..2..0..1..1
1..1..1..2..1..1..0..2..0
1..1..1..1..1..1..2..0..2..0
1..1..1..1..1..1..1..1..1..1..1
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MATHEMATICA
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r = 2-Sqrt[3];
f[n_, k_, i_] := If[(k - 1)/n <= FractionalPart[i*r] < k/n, 1, 0]
g[n_, k_] := Sum[f[n, k, i], {i, 1, n}]
TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
Flatten[%] (* A194329 *)
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CROSSREFS
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Cf. A194285.
Sequence in context: A100544 A130654 A053259 * A143842 A092876 A187360
Adjacent sequences: A194326 A194327 A194328 * A194330 A194331 A194332
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling, Aug 22 2011
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STATUS
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approved
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