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A194320 Triangular array:  g(n,k)=number of fractional parts (i*sqrt(8)) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n. 2
2, 2, 2, 2, 3, 3, 2, 6, 3, 5, 6, 6, 7, 7, 6, 11, 10, 11, 11, 11, 10, 19, 18, 18, 18, 18, 19, 18, 31, 32, 32, 33, 31, 32, 32, 33, 56, 57, 58, 55, 57, 58, 56, 58, 57, 102, 102, 101, 104, 103, 102, 103, 102, 103, 102, 185, 186, 185, 186, 186, 186, 187, 186, 187, 187 (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

2...6...3...5

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

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

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

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

MATHEMATICA

r = Sqrt[8];

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[%]    (* A194320 *)

CROSSREFS

Cf. A194285.

Sequence in context: A055894 A224713 A168557 * A231555 A120425 A104186

Adjacent sequences:  A194317 A194318 A194319 * A194321 A194322 A194323

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 22 2011

STATUS

approved

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Last modified August 23 01:10 EDT 2019. Contains 326211 sequences. (Running on oeis4.)