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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A194319 Triangular array:  g(n,k)=number of fractional parts (i*sqrt(8)) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n. 2
1, 2, 2, 2, 4, 3, 2, 6, 3, 5, 4, 5, 5, 6, 5, 6, 5, 6, 6, 7, 6, 7, 6, 6, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 10, 7, 10, 10, 8, 10, 9, 9, 11, 9, 11, 9, 11, 8, 12, 9, 11, 9, 11, 11, 12, 11, 11, 11, 10, 12, 11, 12, 12, 12, 11, 13, 11, 13, 11, 13, 11, 13, 12, 12, 13, 13, 13, 13 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194285.

LINKS

Table of n, a(n) for n=1..82.

EXAMPLE

First nine rows:

1

2...2

2...4...3

2...6...3...5

4...5...5...6...5

6...5...6...6...7...6

7...6...6...7...8...8...7

8...8...8...8...8...8...7...9

8...9...10..7...10..10..8...10...9

MATHEMATICA

r = Sqrt[8];

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^2}]

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

Flatten[%]    (* A194319 *)

CROSSREFS

Cf. A194285.

Sequence in context: A056944 A283681 A222819 * A208609 A249030 A257126

Adjacent sequences:  A194316 A194317 A194318 * A194320 A194321 A194322

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 November 22 05:55 EST 2019. Contains 329388 sequences. (Running on oeis4.)