A247314 Decimal expansion of C = 2^(1/3)*e^(1/4)/A^3, a constant associated with the Gaudin-Mehta probability distribution and the Glaisher-Kinkelin constant A.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.15 Glaisher-Kinkelin constant, p. 140.

Links

Table of n, a(n) for n=0..107.

Dan Bump, The Gaussian Unitary Ensemble Hypothesis

Eric Weisstein's MathWorld, Glaisher-Kinkelin Constant

Eric Weisstein's MathWorld, Random Matrix

Formula

C = 2^(1/3)*exp(3*zeta'(-1)) = 2^(1/4)*exp(2*B), where B is A243999.

Example

0.7670415009617653094127391775868208813020937515...

Mathematica

RealDigits[2^(1/3)*E^(1/4)/Glaisher^3, 10, 108] // First

Crossrefs

Cf. A074962(A), A084448(zeta'(-1)), A243999(B).

Sequence in context: A259171 A021570 A242977 * A257395 A197687 A239341

Adjacent sequences: A247311 A247312 A247313 * A247315 A247316 A247317

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Sep 12 2014

Status

approved