A194298 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=(1+sqrt(3))/2.

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

Offset

1,1

Comments

See A194285.

Links

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

Example

First eight rows:
2
3..1
2..2..2
2..2..2..2
2..2..2..2..2
2..2..3..2..2..1
3..1..3..2..1..3..1
3..1..2..3..1..2..3..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, 2n}]
TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
Flatten[%]    (* A194298 *)

Crossrefs

Cf. A194298.

Sequence in context: A106798 A214640 A224965 * A194306 A283325 A353707

Adjacent sequences: A194295 A194296 A194297 * A194299 A194300 A194301

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 21 2011

Status

approved