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 A247667 Decimal expansion of the coefficient c_m in c_m*log(N), the asymptotic mean number of factors in a random factorization of n <= N. 9
 5, 5, 0, 0, 1, 0, 0, 0, 5, 4, 1, 3, 1, 5, 4, 4, 9, 1, 8, 3, 3, 0, 5, 8, 1, 2, 6, 7, 0, 2, 2, 2, 2, 1, 9, 6, 4, 6, 1, 1, 6, 8, 2, 2, 7, 1, 0, 2, 7, 1, 4, 0, 4, 0, 9, 8, 8, 8, 3, 9, 6, 5, 8, 5, 8, 9, 2, 9, 0, 5, 3, 0, 6, 6, 6, 6, 0, 5, 6, 4, 8, 5, 9, 5, 1, 1, 8, 7, 2, 0, 6, 5, 2, 3, 5, 3, 4, 6, 6, 5, 4 (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. 41. FORMULA c_m = -1/zeta'(rho), where rho = 1.728647... is A107311, the real solution to zeta(rho) = 2. Residue_{s = rho} 1/(2 - Zeta(s)). - Vaclav Kotesovec, Nov 04 2018 EXAMPLE 0.55001000541315449183305812670222219646116822710271404... MATHEMATICA digits = 101; rho = x /. FindRoot[Zeta[x] == 2, {x, 2}, WorkingPrecision -> digits+5]; cm = -1/Zeta'[rho]; RealDigits[cm, 10, digits] // First CROSSREFS Cf. A107311, A129373, A129374, A129375, A217598, A247668. Sequence in context: A065937 A197738 A189232 * A115144 A200506 A285070 Adjacent sequences: A247664 A247665 A247666 * A247668 A247669 A247670 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Sep 22 2014 STATUS approved

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Last modified March 20 22:04 EDT 2023. Contains 361391 sequences. (Running on oeis4.)