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Search: id:A021002
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| A021002 |
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Decimal expansion of Zeta(2)*Zeta(3)*Zeta(4)*... |
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+0
7
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| 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; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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A very good approximation is 2e-Pi=~2.29497100332829723225793155942... - Marco Matosic (marcomatosic(AT)hotmail.com) Nov 16 2005.
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 40-53.
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LINKS
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S. R. Finch, Apery's Constant
Eric Weisstein's World of Mathematics, Abelian Group
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EXAMPLE
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2.29485659...
2.2948565916733137941835158313443112887131637994416686732758140300...
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MAPLE
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Digits := 256; product(Zeta(1.0*n), n=2..1000);
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MATHEMATICA
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p = Product[ N[ Zeta[n], 256], {n, 2, 104}]; RealDigits[p, 10, 111][[1]] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A002117.
Sequence in context: A085846 A021440 A020776 this_sequence A103710 A093589 A073315
Adjacent sequences: A020999 A021000 A021001 this_sequence A021003 A021004 A021005
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KEYWORD
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cons,nonn
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AUTHOR
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Andre Neumann Kauffman (ank(AT)nlink.com.br)
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EXTENSIONS
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More terms from Simon Plouffe (plouffe(AT)math.uqam.ca), Jan 07 2002
Further terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 22 2005
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