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 A247668 Decimal expansion of the coefficient c_v in c_v*log(N), the asymptotic variance of the number of factors in a random factorization of n <= N. 1
 3, 0, 8, 4, 0, 3, 4, 4, 4, 6, 0, 8, 0, 7, 7, 0, 0, 1, 6, 3, 3, 6, 0, 7, 7, 2, 6, 1, 7, 4, 5, 8, 7, 9, 8, 6, 6, 7, 2, 0, 9, 4, 9, 6, 0, 5, 3, 6, 8, 8, 6, 0, 8, 4, 9, 6, 7, 2, 6, 4, 7, 6, 9, 9, 9, 8, 4, 0, 0, 0, 9, 3, 6, 0, 2, 2, 0, 0, 9, 2, 3, 6, 6, 4, 9, 5, 3, 8, 3, 2, 1, 5, 8, 1, 3, 5, 1, 9, 0, 0, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.5. Kalmár’s Composition Constant, p. 293. LINKS Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 37. FORMULA c_v = (-1/zeta'(rho))*(zeta''(rho)/zeta'(rho]^2 - 1), where rho = 1.728647... is A107311, the real solution to zeta(rho) = 2. EXAMPLE 0.308403444608077001633607726174587986672094960536886... MATHEMATICA digits = 102; rho = x /. FindRoot[Zeta[x] == 2, {x, 2}, WorkingPrecision -> digits+5]; cv = (-1/Zeta'[rho])*(Zeta''[rho]/Zeta'[rho]^2 - 1); RealDigits[cv, 10, digits] // First CROSSREFS Cf. A107311, A217598, A247667. Sequence in context: A174474 A317300 A007391 * A244854 A144807 A157957 Adjacent sequences:  A247665 A247666 A247667 * A247669 A247670 A247671 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Sep 22 2014 STATUS approved

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Last modified September 25 01:17 EDT 2018. Contains 315360 sequences. (Running on oeis4.)