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A243999 Decimal expansion of B (negated), a constant related to Glaisher's constant A and the Gaussian unitary ensemble hypothesis. 1
2, 1, 9, 2, 5, 0, 5, 8, 3, 0, 2, 7, 3, 4, 5, 3, 3, 9, 2, 6, 1, 8, 2, 8, 1, 5, 1, 9, 7, 0, 0, 8, 0, 2, 7, 3, 8, 0, 9, 5, 7, 5, 3, 9, 8, 2, 3, 7, 7, 9, 2, 0, 3, 9, 9, 1, 1, 4, 2, 1, 7, 9, 2, 4, 7, 3, 8, 1, 4, 8, 1, 5, 2, 5, 1, 1, 2, 8, 4, 7, 9, 3, 2, 2, 3, 7, 6, 6, 7, 8, 5, 4, 0, 5, 7, 9, 0, 2, 1, 3 (list; constant; graph; refs; listen; history; text; internal format)
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
B = 1/24*(log(2) - 36*log(A) + 3), where A is Glaisher's constant.
B = 1/24*log(2) + 3/2*zeta'(-1).
exp(2*B) = 2^(1/12)*exp(1/4)*A^(-3).
EXAMPLE
-0.2192505830273453392618281519700802738...
MATHEMATICA
B = 1/24*(Log[2] - 36*Log[Glaisher] + 3); RealDigits[B, 10, 100] // First
CROSSREFS
Cf. A074962 (A), A084448 (zeta'(-1)).
Sequence in context: A030327 A095890 A292827 * A223141 A021460 A090884
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified June 21 11:14 EDT 2024. Contains 373544 sequences. (Running on oeis4.)