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A194332 Triangular array:  g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n, r=2-sqrt(3). 2
2, 2, 2, 3, 3, 2, 4, 5, 3, 4, 6, 7, 7, 6, 6, 12, 10, 10, 12, 10, 10, 18, 19, 19, 18, 18, 18, 18, 32, 31, 34, 31, 33, 31, 32, 32, 57, 58, 57, 57, 56, 57, 57, 57, 56, 103, 102, 103, 103, 102, 103, 102, 101, 104, 101, 186, 186, 187, 187, 186, 186, 186, 186, 186, 186 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194285.

LINKS

Table of n, a(n) for n=1..65.

EXAMPLE

First eight rows:

2

2...2

3...3...2

4...5...3...4

6...7...7...6...6

12..10..10..12..10..10

18..19..19..18..18..18..18

32..31..34..31..33..31..32..32

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, 2^n}]

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

Flatten[%]    (* A194332 *)

CROSSREFS

Cf. A194285.

Sequence in context: A110534 A194340 A194288 * A322062 A071451 A177868

Adjacent sequences:  A194329 A194330 A194331 * A194333 A194334 A194335

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 22 2011

STATUS

approved

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Last modified December 1 16:44 EST 2021. Contains 349430 sequences. (Running on oeis4.)