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A182067 Floor(n)-floor(n/2)-floor(n/3)-floor(n/5)+floor(n/30). 1
0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

The sequence takes only the values 0 and 1 and is periodic with period 30. The sequence was used by Chebyshev to obtain the estimate for the prime counting function 0.92*x/log(x) <= #{primes <= x} <= 1.11*x/log(x), for x sufficiently large.

LINKS

Table of n, a(n) for n=0..87.

H. G. Diamond, Elementary methods in the study of the distribution of prime numbers, Bull. Amer. Math. Soc., Vol.7 (3), 1982

CROSSREFS

Cf. A211417.

Sequence in context: A226162 A204549 A204437 * A196147 A242647 A211487

Adjacent sequences:  A182064 A182065 A182066 * A182068 A182069 A182070

KEYWORD

nonn,easy

AUTHOR

Peter Bala, Apr 11 2012

STATUS

approved

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Last modified December 20 17:23 EST 2014. Contains 252272 sequences.