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A194312 Triangular array:  g(n,k)=number of fractional parts (i*e) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n. 2
2, 2, 2, 3, 2, 3, 4, 5, 4, 3, 6, 7, 6, 6, 7, 10, 11, 11, 11, 11, 10, 18, 18, 18, 18, 18, 19, 19, 32, 32, 31, 32, 32, 33, 32, 32, 57, 58, 56, 57, 57, 56, 59, 56, 56, 104, 102, 101, 103, 103, 102, 102, 103, 102, 102, 187, 186, 186, 186, 187, 185, 187, 186, 186, 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

3...2...3

4...5...4...3

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

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

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

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

MATHEMATICA

r = 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[%]    (* A194312 *)

CROSSREFS

Cf. A194285.

Sequence in context: A127159 A025128 A058769 * A116997 A050142 A092964

Adjacent sequences:  A194309 A194310 A194311 * A194313 A194314 A194315

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 21 2011

STATUS

approved

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Last modified April 21 19:16 EDT 2021. Contains 343156 sequences. (Running on oeis4.)