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A212832 Decimal expansion of 5/24. 0
2, 0, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Essentially the same as A021052 and A021016.

Shparklinki shows that for any fixed epsilon > 0 and almost all primes p, the g-ary expansion of any fraction m/p with gcd(m,p) = 1 contains almost all g-ary strings of length k < (5/24 - epsilon) log_g p. This complements a result of J. Bourgain, S. V. Konyagin, and I. E. Shparlinski that asserts that, for almost all primes, all g-ary strings of length k < (41/504 -epsilon) log_g p occur in the g-ary expansion of m/p.

LINKS

Table of n, a(n) for n=0..92.

Igor E. Shparlinski, Wolfgang Steiner On digit patterns in expansions of rational numbers with prime denominator, arXiv:1205.5673v1 [math.NT], May 25, 2012.

EXAMPLE

5 / 24 = 0.208333333...

MATHEMATICA

RealDigits[5/24, 10, 100][[1]] (* Alonso del Arte, May 28 2012 *)

CROSSREFS

Cf. A021028 (1/24).

Sequence in context: A179990 A228156 A182524 * A021052 A252852 A099380

Adjacent sequences:  A212829 A212830 A212831 * A212833 A212834 A212835

KEYWORD

nonn,easy,cons

AUTHOR

Jonathan Vos Post, May 28 2012

STATUS

approved

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Last modified November 12 07:03 EST 2019. Contains 329052 sequences. (Running on oeis4.)