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A194304 Triangular array:  g(n,k)=number of fractional parts (i*sqrt(5)) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n. 2
2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 7, 6, 7, 6, 6, 11, 11, 11, 10, 10, 11, 18, 19, 18, 19, 17, 19, 18, 32, 33, 32, 33, 31, 32, 31, 32, 56, 58, 57, 57, 57, 57, 56, 57, 57, 103, 102, 102, 102, 105, 101, 102, 103, 102, 102, 185, 188, 185, 187, 186, 187, 186, 185, 188, 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

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

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

18..19..18..19..17..19..18

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

MATHEMATICA

r = Sqrt[5];

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[%]    (* A194304 *)

CROSSREFS

Cf. A194285.

Sequence in context: A123919 A194324 A194328 * A090701 A056970 A212218

Adjacent sequences:  A194301 A194302 A194303 * A194305 A194306 A194307

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 21 2011

STATUS

approved

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Last modified August 21 19:04 EDT 2019. Contains 326168 sequences. (Running on oeis4.)