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A194302
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Triangular array: g(n,k)=number of fractional parts (i*sqrt(5)) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n.
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2
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2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2, 1, 2, 2, 3, 2, 1, 3, 1, 3, 1, 2, 2, 2, 1, 4, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 1
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OFFSET
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1,1
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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..99.
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EXAMPLE
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First eight rows:
2
2..2
2..2..2
2..2..2..2
2..2..2..2..2
1..2..3..2..2..2
2..2..3..1..3..1..2
2..2..2..2..2..2..2..2
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MATHEMATICA
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r = Sqrt[5];
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, 2n}]
TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
Flatten[%] (* A194302 *)
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CROSSREFS
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Cf. A194285.
Sequence in context: A067441 A044926 A074264 * A194294 A044927 A044928
Adjacent sequences: A194299 A194300 A194301 * A194303 A194304 A194305
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling, Aug 21 2011
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STATUS
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approved
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