A194290 Triangular array: g(n,k)=number of fractional parts (i*sqrt(3)) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n.

2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 1, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 1, 3, 2, 1, 3, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2

Offset

1,1

Comments

See A194285.

Links

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

Example

First eight rows:
2
2..2
1..3..2
2..2..2..2
2..2..2..2..2
2..2..2..2..2..2
2..2..2..2..2..3..1
2..2..1..2..2..3..2..2

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, 2n}]
TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
Flatten[%]    (* A194290 *)

Crossrefs

Cf. A194290.

Sequence in context: A348193 A194326 A295277 * A329028 A257079 A327567

Adjacent sequences: A194287 A194288 A194289 * A194291 A194292 A194293

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 21 2011

Status

approved