

A143298


Decimal expansion of Gieseking's constant.


4



1, 0, 1, 4, 9, 4, 1, 6, 0, 6, 4, 0, 9, 6, 5, 3, 6, 2, 5, 0, 2, 1, 2, 0, 2, 5, 5, 4, 2, 7, 4, 5, 2, 0, 2, 8, 5, 9, 4, 1, 6, 8, 9, 3, 0, 7, 5, 3, 0, 2, 9, 9, 7, 9, 2, 0, 1, 7, 4, 8, 9, 1, 0, 6, 7, 7, 6, 5, 9, 7, 4, 7, 6, 2, 5, 8, 2, 4, 4, 0, 2, 2, 1, 3, 6, 4, 7, 0, 3, 5, 4, 2, 2, 8, 2, 5, 6, 6, 9, 4, 9, 4, 5, 8, 6
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OFFSET

1,4


REFERENCES

C. C. Adams, The newest inductee in the Number Hall of Fame, Math. Mag., 71 (1998), 341349.
S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 233.


LINKS

Table of n, a(n) for n=1..105.
P. J. de Doelder, On the Clausen integral Cl_2(theta) and a related integral, J. Comp. Appl. Math. 11 (1984) 325330.
K. S. Kolbig, Chebyshev coefficients for the Clausen function Cl_2(x), J. Comp. Appl. Math. 64 (1995) 295297.
Eric Weisstein's World of Mathematics, Gieseking's Constant


FORMULA

(9  PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3])


EXAMPLE

1.0149416064096536250...


MAPLE

sqrt(3)/6*(Psi(1, 1/3)2*Pi^2/3) ; evalf(%) ; # R. J. Mathar, Sep 23 2013


CROSSREFS

Sequence in context: A178143 A070435 A070516 * A177839 A013669 A085365
Adjacent sequences: A143295 A143296 A143297 * A143299 A143300 A143301


KEYWORD

nonn,cons


AUTHOR

Eric W. Weisstein, Aug 05 2008


STATUS

approved



