login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A194309 Triangular array:  g(n,k)=number of fractional parts (i*e) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=n. 2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,13

COMMENTS

See A194285.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

1

1..1

1..1..1

1..1..1..1

1..0..2..1..1

1..1..1..1..1..1

1..1..1..1..1..1..1

1..1..1..1..1..2..1..0

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, n}]

TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]

Flatten[%]    (* A194309 *)

CROSSREFS

Cf. A194285.

Sequence in context: A323022 A284562 A087102 * A318829 A113515 A103754

Adjacent sequences:  A194306 A194307 A194308 * A194310 A194311 A194312

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 21 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 13 23:25 EDT 2019. Contains 327983 sequences. (Running on oeis4.)