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A194291 Triangular array:  g(n,k)=number of fractional parts (i*sqrt(3)) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n. 2
1, 2, 2, 2, 4, 3, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 9, 7, 9, 8, 8, 8, 9, 9, 9, 9, 10, 8, 9, 10, 10, 10, 10, 10, 11, 9, 10, 11, 9, 10, 10, 11, 11, 10, 12, 11, 11, 12, 11, 11, 11, 11, 12, 13, 11, 12, 13, 12, 11, 13, 12, 11, 13, 13, 13, 13 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194285.

LINKS

Table of n, a(n) for n=1..81.

EXAMPLE

First eight rows:

1

2..2

2..4..3

4..3..5..4

5..5..5..5..5

5..6..7..6..5..7

7..7..7..7..7..7..7

8..8..7..9..7..9..8..8

MATHEMATICA

r = 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^2}]

TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]

Flatten[%]    (* A194291 *)

CROSSREFS

Cf. A194291.

Sequence in context: A114091 A209580 A166008 * A194323 A070867 A241164

Adjacent sequences:  A194288 A194289 A194290 * A194292 A194293 A194294

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 21 2011

STATUS

approved

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Last modified November 12 04:21 EST 2019. Contains 329051 sequences. (Running on oeis4.)