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 A125313 Decimal expansion of 2*exp(-gamma). 1
 1, 1, 2, 2, 9, 1, 8, 9, 6, 7, 1, 3, 3, 7, 7, 0, 3, 3, 9, 6, 4, 8, 2, 8, 6, 4, 2, 9, 5, 8, 1, 7, 6, 1, 5, 7, 3, 5, 3, 1, 4, 2, 0, 7, 7, 3, 8, 5, 0, 3, 0, 6, 3, 3, 6, 3, 0, 8, 3, 1, 8, 1, 5, 2, 0, 9, 0, 1, 7, 5, 9, 3, 4, 1, 4, 8, 5, 7, 1, 2, 7, 4, 2, 6, 5, 7, 4, 2, 3, 1, 7, 8, 6, 8, 4, 2, 8, 7, 1, 7, 5, 3, 4, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS "... the prediction here is that Pi(x) ~ a*x/log x where a = 2exp(-gamma) = 1.1229..., in conflict with the Prime Number Theorem" - from the Niven et al. reference. REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.3, Landau-Ramanujan constant, p. 100. LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 A. Granville, Harald Cramér and the distribution of prime numbers, Scandinavian Actuarial Journal 1: 12-28, (1995) DOI:10.1080/03461238.1995.10413946. Simon Plouffe, Plouffe's Inverter. S. K. Wilson and B. R. Duffy, An asymptotic analysis of small holes in thin fluid layers, Journal of Engineering Mathematics, July 1996, Volume 30, Issue 4, pp 445-457. FORMULA Equals 2*A080130, 2*A001113^(-A001620) and 2/A073004 = 2/A068985^A001620. Equals A088540 * A088541. - Jean-François Alcover, Jun 04 2014 Equals exp(A002162 - A001620). - John W. Nicholson, Apr 03 2015 EXAMPLE 1.12291896713377033964828642958176157353142077385030633630831815209... MATHEMATICA RealDigits[2*Exp[-EulerGamma], 10, 111][[1]] PROG (PARI) default(realprecision, 100); 2*exp(-Euler) \\ G. C. Greubel, Sep 05 2018 (MAGMA) R:= RealField(100); 2*Exp(-EulerGamma(R)); // G. C. Greubel, Sep 05 2018 CROSSREFS Sequence in context: A011148 A176020 A048650 * A199058 A274569 A082838 Adjacent sequences:  A125310 A125311 A125312 * A125314 A125315 A125316 KEYWORD cons,nonn AUTHOR Robert G. Wilson v, Dec 08 2006 STATUS approved

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Last modified October 23 16:46 EDT 2019. Contains 328373 sequences. (Running on oeis4.)