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A194340 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=3-sqrt(5). 2
2, 2, 2, 3, 3, 2, 4, 4, 4, 4, 6, 6, 7, 6, 7, 11, 10, 10, 11, 11, 11, 18, 19, 17, 19, 18, 19, 18, 32, 31, 32, 31, 33, 32, 33, 32, 57, 57, 56, 57, 57, 57, 57, 58, 56, 102, 102, 103, 102, 101, 105, 102, 102, 102, 103, 187, 184, 188, 185, 186, 187, 186, 187, 185, 188 (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 six rows:

2

2...2

3...3...2

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

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

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

MATHEMATICA

r = 3-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[%]    (* A194340 *)

CROSSREFS

Cf. A194285.

Sequence in context: A295511 A116505 A110534 * A194288 A194332 A322062

Adjacent sequences:  A194337 A194338 A194339 * A194341 A194342 A194343

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 22 2011

STATUS

approved

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Last modified November 19 16:06 EST 2019. Contains 329320 sequences. (Running on oeis4.)