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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A194326 Triangular array:  g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n, r=2-sqrt(2). 2
2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 2, 2, 2, 3, 1, 3, 1, 3, 1, 2, 2, 1, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194285.

LINKS

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

EXAMPLE

First ten rows:

2

2..2

1..3..2

2..1..3..2

2..2..2..2..2

2..2..2..2..2..2

2..3..1..2..3..1..2

2..2..3..1..3..1..3..1

2..2..1..3..2..2..2..2..2

1..3..2..2..1..3..2..3..1..2

MATHEMATICA

r = 2-Sqrt[2];

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, 2n}]

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

Flatten[%]    (* A194326 *)

CROSSREFS

Cf. A194285.

Sequence in context: A230243 A078687 A133138 * A295277 A194290 A257079

Adjacent sequences:  A194323 A194324 A194325 * A194327 A194328 A194329

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 22 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 June 19 06:47 EDT 2019. Contains 324218 sequences. (Running on oeis4.)