

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
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OFFSET

0,1


COMMENTS

Decimal expansion of sigma(11,i)/2, where sigma is the Weierstrass sigma function and 1 and i are the halfperiods.  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, 143188, 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



