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A194297 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=(1+sqrt(3))/2. 2
1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

See A194285.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

First ten rows:

1

1..1

1..1..1

1..2..1..0

1..1..1..1..1

1..1..2..0..2..0

1..1..1..2..0..2..0

1..1..1..1..1..1..1..1

1..1..1..1..1..1..1..1..1

1..1..1..1..1..1..1..1..1..1

MATHEMATICA

r = (1+Sqrt[3])/2;

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[%]    (* A194297 *)

CROSSREFS

Cf. A194297.

Sequence in context: A194293 A298941 A317146 * A100544 A031214 A130654

Adjacent sequences:  A194294 A194295 A194296 * A194298 A194299 A194300

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 21 2011

STATUS

approved

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Last modified May 8 08:39 EDT 2021. Contains 343666 sequences. (Running on oeis4.)