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A194330 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n, r=2-sqrt(3). 2
2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 3, 1, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 2, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A194285.
LINKS
EXAMPLE
First nine rows:
2
2..2
2..3..1
2..2..2..2
2..2..2..2..2
2..2..2..2..2..2
1..3..2..2..2..2..2
2..2..3..2..2..1..2..2
2..2..2..2..3..1..2..3..1
MATHEMATICA
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, 2n}]
TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
Flatten[%] (* A194330 *)
CROSSREFS
Cf. A194285.
Sequence in context: A225538 A212355 A238646 * A280667 A194286 A063473
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 22 2011
STATUS
approved

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Last modified May 18 11:35 EDT 2024. Contains 372623 sequences. (Running on oeis4.)