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 A094692 Decimal expansion of 2^(5/4)*sqrt(Pi)*exp(Pi/8)/Gamma(1/4)^2. 1
 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; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Decimal expansion of sigma(1|1,i)/2, where sigma is the Weierstrass sigma function and 1 and i are the half-periods. - Eric W. Weisstein, Jan 15 2005 Known to be transcendental. - Benoit Cloitre, Jan 07 2006 REFERENCES Michel Waldschmidt, Elliptic functions and transcendance, Surveys in number theory, 143-188, Dev. Math., 17, Springer, New York, 2008. LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 Simon Plouffe, 2**(5/4)*sqrt(Pi)*exp(Pi/8)*GAMMA(1/4)**(-2) Michel Waldschmidt, Elliptic Functions and Transcendence, preprint, Corollary 49. Eric Weisstein's World of Mathematics, Weierstrass Constant FORMULA c = 2^(5/4)*Pi^(1/2)*exp(Pi/8)/Gamma(1/4)^2. EXAMPLE 0.474949379987920650332... MATHEMATICA RealDigits[2^(5/4) Sqrt[Pi] E^(Pi/8)/Gamma[1/4]^2, 10, 111][[1]] RealDigits[N[WeierstrassSigma[1, WeierstrassInvariants[{1, I}]]/2, 100], 10][[1]] (* Eric W. Weisstein, Apr 16 2018 *) PROG (PARI) 2^(5/4)*Pi^(1/2)*exp(Pi/8)/gamma(1/4)^2 \\ Benoit Cloitre, Jan 07 2006 CROSSREFS Sequence in context: A170863 A021682 A242187 * A059139 A110669 A106027 Adjacent sequences:  A094689 A094690 A094691 * A094693 A094694 A094695 KEYWORD cons,nonn AUTHOR Robert G. Wilson v, May 19 2004 EXTENSIONS Edited by N. J. A. Sloane, Aug 19 2008 at the suggestion of R. J. Mathar STATUS approved

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Last modified August 17 12:52 EDT 2018. Contains 313817 sequences. (Running on oeis4.)