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A194343 Triangular array:  g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n, r=3-e. 2
1, 2, 2, 3, 3, 3, 3, 4, 5, 4, 5, 5, 5, 5, 5, 6, 7, 5, 7, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 9, 9, 9, 9, 10, 8, 10, 11, 10, 10, 9, 10, 11, 9, 10, 10, 11, 11, 12, 10, 12, 10, 12, 10, 11, 11, 11, 12, 12, 12, 13, 12, 12, 13, 12, 11, 12, 12, 11, 14, 12, 14 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194285.

LINKS

Table of n, a(n) for n=1..81.

EXAMPLE

First eight rows:

1

2..2

3..3..3

3..4..5..4

5..5..5..5..5

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

7..7..7..7..7..7..7

8..8..8..8..8..8..8..8

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, n^2}]

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

Flatten[%]    (* A194343 *)

CROSSREFS

Cf. A194343.

Sequence in context: A241092 A055656 A078571 * A071860 A004788 A284523

Adjacent sequences:  A194340 A194341 A194342 * A194344 A194345 A194346

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 22 2011

STATUS

approved

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Last modified August 12 23:19 EDT 2020. Contains 336440 sequences. (Running on oeis4.)