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A094692 Decimal expansion of 2^(5/4)*sqrt(Pi)*exp(Pi/8)/Gamma(1/4)^2. 0
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

Table of n, a(n) for n=0..104.

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

2^(5/4)*Pi^(1/2)*exp(Pi/8)/Gamma(1/4)^2=0.474949379987920650332...

MATHEMATICA

RealDigits[2^(5/4)*Sqrt[Pi]*E^(Pi/8)/Gamma[1/4]^(2), 10, 111][[1]]

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 December 5 09:15 EST 2016. Contains 278762 sequences.