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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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

REFERENCES

C. C. Adams, The newest inductee in the Number Hall of Fame, Math. Mag., 71 (1998), 341-349.

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) 325-330.

K. S. Kolbig, Chebyshev coefficients for the Clausen function Cl_2(x), J. Comp. Appl. Math. 64 (1995) 295-297.

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

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Last modified July 29 13:08 EDT 2014. Contains 245022 sequences.