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A240976 Decimal expansion of 3*zeta(3)/(2*Pi^2), a constant appearing in the asymptotic evaluation of the average LCM of two integers chosen independently from the uniform distribution [1..n]. 2
1, 8, 2, 6, 9, 0, 7, 4, 2, 3, 5, 0, 3, 5, 9, 6, 2, 4, 6, 8, 1, 5, 0, 9, 1, 8, 2, 8, 2, 6, 9, 2, 8, 6, 5, 9, 8, 8, 2, 0, 0, 2, 9, 0, 1, 2, 6, 9, 8, 4, 3, 6, 1, 7, 5, 1, 7, 8, 3, 1, 3, 3, 9, 1, 5, 4, 2, 2, 6, 9, 0, 7, 6, 6, 9, 6, 2, 1, 3, 9, 2, 0, 6, 6, 7, 6, 7, 5, 0, 9, 2, 8, 5, 2, 4, 6, 9, 7, 5, 8, 2, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..101.

Persi Diaconis and Paul Erdős, On the distribution of the greatest common divisor (1977) U.S. Army Research Office

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 17.

FORMULA

zeta(3)/(4*zeta(2)) = 3*zeta(3)/(2*Pi^2).

EXAMPLE

0.18269074235035962468150918282692865988200290126984361751783...

MATHEMATICA

RealDigits[3*Zeta[3]/(2*Pi^2), 10, 102] // First

CROSSREFS

Cf. A059956.

Sequence in context: A019635 A011468 A120219 * A199158 A086089 A091350

Adjacent sequences:  A240973 A240974 A240975 * A240977 A240978 A240979

KEYWORD

nonn,cons,easy

AUTHOR

Jean-François Alcover, Aug 07 2014

STATUS

approved

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Last modified November 30 04:28 EST 2021. Contains 349418 sequences. (Running on oeis4.)