

A088453


Decimal expansion of 1/zeta(3).


7



8, 3, 1, 9, 0, 7, 3, 7, 2, 5, 8, 0, 7, 0, 7, 4, 6, 8, 6, 8, 3, 1, 2, 6, 2, 7, 8, 8, 2, 1, 5, 3, 0, 7, 3, 4, 4, 1, 7, 0, 5, 6, 3, 9, 7, 7, 3, 3, 7, 2, 8, 0, 7, 9, 2, 7, 9, 6, 7, 0, 3, 3, 2, 8, 6, 4, 4, 5, 7, 8, 7, 9, 1, 7, 2, 3, 4, 7, 9, 8, 8, 8, 2, 1, 3, 6, 5, 6, 6, 8, 9, 8, 9, 9, 6, 5, 3, 0, 4, 0, 9, 8
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OFFSET

0,1


COMMENTS

This is the probability that three randomly chosen integers are relatively prime (see A018805).  Gary McGuire, Dec 13 2004
This is also the probability that a random integer is cubefree.  Eugene Salamin, Dec 13 2004
On the other hand, the probability that three randomlychosen integers are pairwise relatively prime is given by A065473.  Charles R Greathouse IV, Nov 14 2011
This is also the 'probability' that a random algebraic number's denominator is equal to its leading coefficient, see Arno, Robinson, & Wheeler.  Charles R Greathouse IV, Nov 12 2014


REFERENCES

Steven Arno, M. L. Robinson, and Ferell S. Wheeler, On denominators of algebraic numbers and integer polynomials, Journal of Number Theory 57:2 (April 1996), pp. 292302.


LINKS

Table of n, a(n) for n=0..101.
Eric Weisstein's World of Mathematics, Relatively Prime


EXAMPLE

0.831907372580707468683126278821530734417...


MATHEMATICA

RealDigits[1/Zeta[3], 10, 120][[1]] (* Harvey P. Dale, May 31 2019 *)


PROG

(Maxima) fpprec : 200$ bfloat( 1/zeta(3))$ bfloat(%); /* Martin Ettl, Oct 15 2012 */
(PARI) 1/zeta(3) \\ Charles R Greathouse IV, Nov 12 2014


CROSSREFS

Cf. A002117.
Sequence in context: A075525 A242048 A097890 * A019782 A221209 A056030
Adjacent sequences: A088450 A088451 A088452 * A088454 A088455 A088456


KEYWORD

nonn,cons,easy


AUTHOR

Eric W. Weisstein, Sep 30 2003


EXTENSIONS

Entry revised by N. J. A. Sloane, Dec 16 2004


STATUS

approved



