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Search: id:A094692
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| A094692 |
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Decimal expansion of 2^(5/4)*sqrt(Pi)*exp(Pi/8)/Gamma(1/4)^2. |
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+0
1
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| 4, 7, 4, 9, 4, 9, 3, 7, 9, 9, 8, 7, 9, 2, 0, 6, 5, 0, 3, 3, 2, 5, 0, 4, 6, 3, 6, 3, 2, 7, 9, 8, 2, 9, 6, 8, 5, 5, 9, 5, 4, 9, 3, 7, 3, 2, 1, 7, 2, 0, 2, 9, 8, 2, 2, 8, 3, 3, 3, 1, 0, 2, 4, 8, 6, 4, 5, 5, 7, 9, 2, 9, 1, 7, 4, 8, 8, 3, 8, 6, 0, 2, 7, 4, 2, 7, 5, 6, 4, 1, 2, 5, 0, 5, 0, 2, 1, 4, 4, 4, 1, 8, 9, 0, 3
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Decimal expansion of sigma(1|1,i)/2, where sigma is the Weierstrass sigma function and 1 and i are the half-periods. - Eric Weisstein (eric(AT)weisstein.com), Jan 15, 2005
Known to be transcendental. - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 07 2006
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REFERENCES
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Michel Waldschmidt, Elliptic functions and transcendance, dec. 2005, to appear
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LINKS
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S. Plouffe, 2**(5/4)*sqrt(Pi)*exp(Pi/8)*GAMMA(1/4)**(-2)
Eric Weisstein's World of Mathematics, Weierstrass Constant
Michel Waldschmidt, Elliptic Functions and Transcendence, preprint, Corollary 49. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 20 2008]
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FORMULA
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2^(5/4)*Pi^(1/2)*exp(Pi/8)/Gamma(1/4)^2=0.474949379987920650332...
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MATHEMATICA
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RealDigits[2^(5/4)*Sqrt[Pi]*E^(Pi/8)/Gamma[1/4]^(2), 10, 111][[1]]
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PROGRAM
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(PARI) 2^(5/4)*Pi^(1/2)*exp(Pi/8)/gamma(1/4)^2 - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 07 2006
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CROSSREFS
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Sequence in context: A059143 A094765 A021682 this_sequence A059139 A110669 A106027
Adjacent sequences: A094689 A094690 A094691 this_sequence A094693 A094694 A094695
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), May 19 2004
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 19 2008 at the suggestion of R. J. Mathar
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