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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 Table of n, a(n) for n=0..99. Dan Bump, The Gaussian Unitary Ensemble Hypothesis 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 Adjacent sequences: A243996 A243997 A243998 * A244000 A244001 A244002 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Jun 17 2014 STATUS approved

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