A125313 Decimal expansion of 2*exp(-gamma).

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

Offset

1,3

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.

Bernard Montaron, Exponential prime sequences, arXiv:2011.14653 [math.NT], 2020.

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: A351400 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