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A194328 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(2). 2
2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 6, 6, 7, 7, 6, 10, 11, 10, 11, 11, 11, 18, 18, 18, 18, 19, 18, 19, 32, 32, 32, 31, 33, 31, 33, 32, 57, 57, 56, 57, 57, 57, 58, 56, 57, 101, 103, 102, 103, 101, 104, 102, 103, 102, 103, 185, 188, 186, 186, 185, 187, 187, 186, 187, 184 (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

2...3...3

4...4...4...4

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

10..11..10..11..11..11

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

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

MATHEMATICA

r = 2-Sqrt[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, 2^n}]

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

Flatten[%]    (* A194328 *)

CROSSREFS

Cf. A194285.

Sequence in context: A156078 A123919 A194324 * A194304 A090701 A056970

Adjacent sequences:  A194325 A194326 A194327 * A194329 A194330 A194331

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 22 2011

STATUS

approved

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Last modified October 19 15:49 EDT 2019. Contains 328223 sequences. (Running on oeis4.)