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A024584 Floor(1/frac(n*Pi)). 4
7, 3, 2, 1, 1, 1, 1, 7, 3, 2, 1, 1, 1, 1, 8, 3, 2, 1, 1, 1, 1, 8, 3, 2, 1, 1, 1, 1, 9, 4, 2, 1, 1, 1, 1, 10, 4, 2, 1, 1, 1, 1, 11, 4, 2, 1, 1, 1, 1, 12, 4, 2, 1, 1, 1, 1, 14, 4, 2, 2, 1, 1, 1, 16, 4, 2, 2, 1, 1, 1, 18, 5, 2, 2, 1, 1, 1, 22, 5, 3, 2, 1, 1, 1, 28, 5, 3, 2, 1, 1, 1, 37, 5, 3, 2, 1, 1, 1, 56, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Contribution from Hieronymus Fischer, Apr 15 2012: (Start)

The sequence is well defined, since frac(n*pi)>0 for n>0.

Let b(n,m)=|{a(k)| 1<=k<=n, a(k)>=m}| be the number of the first n terms which are >= m >= 1.

Then, lim b(n,m)/n = 1/m for n-->oo since frac(n*pi) is uniformly distributed. (End)

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

MATHEMATICA

Table[Floor[1/FractionalPart[n Pi]], {n, 100}] (* Bruno Berselli, Apr 15 2012 *)

CROSSREFS

Cf. A024753, A022844.

Sequence in context: A002194 A256843 A033327 * A132713 A262312 A135296

Adjacent sequences:  A024581 A024582 A024583 * A024585 A024586 A024587

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified November 22 03:20 EST 2019. Contains 329383 sequences. (Running on oeis4.)