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A125313 Decimal expansion of 2*exp(-gamma). 0
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

Table of n, a(n) for n=1..105.

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 e^(A002162-A001620). - John W. Nicholson, Apr 03 2015

EXAMPLE

1.12291896713377033964828642958176157353142077385030633630831815209...

MATHEMATICA

RealDigits[2*E^-EulerGamma, 10, 111][[1]]

CROSSREFS

Sequence in context: A011148 A176020 A048650 * A199058 A082838 A074961

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 August 28 08:35 EDT 2015. Contains 261118 sequences.