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A247864 Decimal expansion of c = 1/(2^(e^(-gamma))-1), a constant associated with the asymptotic convergent denominators of a continued fraction using Mersenne primes. 2
2, 1, 0, 1, 8, 9, 3, 9, 4, 5, 3, 3, 5, 2, 0, 4, 1, 8, 9, 0, 5, 2, 7, 9, 7, 1, 8, 5, 6, 8, 8, 0, 8, 4, 9, 0, 1, 9, 9, 5, 9, 9, 2, 0, 0, 7, 4, 5, 8, 4, 2, 3, 9, 0, 6, 5, 8, 8, 0, 0, 3, 7, 2, 9, 5, 5, 2, 9, 7, 8, 9, 5, 7, 2, 2, 8, 3, 4, 5, 6, 7, 8, 0, 5, 4, 6, 0, 8, 0, 2, 2, 5, 4, 4, 3, 2, 4, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

Eric Weisstein's MathWorld, Mersenne Prime

Marek Wolf, "Continued fractions constructed from prime numbers" arXiv:1003.4015 [math.NT] Sep 26 2010, p. 24.

FORMULA

c = 1/(2^(e^(-gamma))-1), where gamma is Euler's constant 0.5772...

EXAMPLE

2.1018939453352041890527971856880849019959920074584239...

MATHEMATICA

c = 1/(2^(E^(-EulerGamma)) - 1); RealDigits[c, 10, 99] // First

PROG

(PARI) 1/(2^(exp(-Euler))-1) \\ Michel Marcus, Sep 25 2014

(MAGMA) SetDefaultRealField(RealField(100)); R:= RealField(); 1/(2^(Exp(-EulerGamma(R))) - 1); // G. C. Greubel, Sep 04 2018

CROSSREFS

Cf. A000668, A001620.

Sequence in context: A085324 A264945 A326476 * A266632 A062154 A326474

Adjacent sequences:  A247861 A247862 A247863 * A247865 A247866 A247867

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Sep 25 2014

STATUS

approved

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Last modified September 16 08:53 EDT 2019. Contains 327092 sequences. (Running on oeis4.)