login
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.
0
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
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
PROG
(PARI) 2^(1/3)*exp(3*zeta'(-1)) \\ Amiram Eldar, Jul 25 2024
CROSSREFS
Cf. A074962(A), A084448(zeta'(-1)), A243999(B).
Sequence in context: A259171 A021570 A242977 * A257395 A197687 A239341
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved