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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
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: A194340 A194288 A360058 * A322062 A368460 A350679
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 22 2011
STATUS
approved

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Last modified April 20 16:37 EDT 2024. Contains 371845 sequences. (Running on oeis4.)