A194344 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-e.

2, 2, 2, 3, 2, 3, 3, 4, 5, 4, 7, 6, 6, 7, 6, 10, 11, 11, 11, 11, 10, 19, 19, 18, 18, 18, 18, 18, 32, 32, 33, 32, 32, 31, 32, 32, 56, 56, 59, 56, 57, 57, 56, 58, 57, 102, 102, 103, 102, 102, 103, 103, 101, 102, 104, 185, 187, 186, 186, 187, 185, 187, 186, 186, 186

Offset

1,1

Comments

See A194285.

Links

Table of n, a(n) for n=1..65.

Example

First eight rows:
2
2...2
3...2...3
3...4...5...4
7...6...6...7...6
10..11..11..11..11..10
19..19..18..18..18..18..18
32..32..33..32..32..31..32..32

Mathematica

r = 3-E;
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[%]    (* A194344 *)

Crossrefs

Cf. A194285.

Sequence in context: A346018 A050331 A259194 * A128435 A369219 A220415

Adjacent sequences: A194341 A194342 A194343 * A194345 A194346 A194347

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 22 2011

Status

approved