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A021002 Decimal expansion of Zeta(2)*Zeta(3)*Zeta(4)*... 11
2, 2, 9, 4, 8, 5, 6, 5, 9, 1, 6, 7, 3, 3, 1, 3, 7, 9, 4, 1, 8, 3, 5, 1, 5, 8, 3, 1, 3, 4, 4, 3, 1, 1, 2, 8, 8, 7, 1, 3, 1, 6, 3, 7, 9, 9, 4, 4, 1, 6, 6, 8, 6, 7, 3, 2, 7, 5, 8, 1, 4, 0, 3, 0, 0, 0, 1, 3, 9, 7, 0, 1, 2, 0, 1, 1, 3, 2, 3, 1, 5, 7, 5, 0, 1, 7, 9, 6, 8, 0, 4, 5, 2, 3, 2, 7, 2, 4, 9, 0, 8, 1, 3, 8, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A very good approximation is 2e-Pi = ~2.29497100332829723225793155942... - Marco Matosic, Nov 16 2005

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.1 Abelian group enumeration constants, p. 274.

LINKS

Table of n, a(n) for n=1..105.

S. R. Finch, Apery's Constant

Felix Fontein and Pawel Wocjan, Quantum Algorithm for Computing the Period Lattice of an Infrastructure, arXiv preprint arXiv:1111.1348, 2011

Felix Fontein and Pawel Wocjan, On the Probability of Generating a Lattice, arXiv preprint arXiv:1211.6246, 2012. - From N. J. A. Sloane, Jan 03 2013

Bernd C. Kellner, On asymptotic constants related to products of Bernoulli numbers and factorials, arXiv:math/0604505.

Eric Weisstein's World of Mathematics, Abelian Group

FORMULA

Product of A080729 and A080730. - R. J. Mathar, Feb 16 2011

EXAMPLE

2.2948565916733137941835158313443112887131637994416686732758140300...

MAPLE

Digits := 256; product(Zeta(1.0*n), n=2..1000);

MATHEMATICA

p = Product[ N[ Zeta[n], 256], {n, 2, 1000}]; RealDigits[p, 10, 111][[1]] (* Robert G. Wilson v *)

CROSSREFS

Cf. A002117.

Sequence in context: A021440 A157216 A020776 * A103710 A178236 A093589

Adjacent sequences:  A020999 A021000 A021001 * A021003 A021004 A021005

KEYWORD

cons,nonn

AUTHOR

Andre Neumann Kauffman (ank(AT)nlink.com.br)

EXTENSIONS

More terms from Simon Plouffe, Jan 07 2002

Further terms from Robert G. Wilson v, Nov 22 2005

Mathematica program fixed by Vaclav Kotesovec, Sep 20 2014

STATUS

approved

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Last modified November 27 21:59 EST 2014. Contains 250286 sequences.