A217597 Decimal expansion of exp(gamma)/2.

8, 9, 0, 5, 3, 6, 2, 0, 8, 9, 9, 5, 0, 9, 8, 9, 9, 2, 6, 1, 8, 2, 5, 2, 0, 5, 1, 5, 5, 3, 5, 8, 9, 7, 7, 4, 5, 8, 4, 8, 2, 2, 6, 0, 7, 1, 5, 1, 7, 1, 5, 1, 0, 2, 6, 7, 8, 8, 3, 2, 9, 3, 8, 2, 5, 6, 4, 2, 0, 5, 3, 8, 4, 0, 6, 7, 9, 4, 1, 4, 6, 8, 5, 3, 7, 8, 7, 1, 0, 8, 2, 4, 4, 2, 0, 9, 1, 4, 0, 1

Offset

0,1

Comments

Also, decimal expansion of lim_{n->oo} 1/log(n)*primeProduct_{2<p<n} p/(p-1).

Also, decimal expansion of lim_{n->oo} e^H(n)-n*e^gamma, where H(n) is the n-th harmonic number. - Clark Kimberling, Jun 27 2013

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 86.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Formula

Equals A073004/2. - Bruno Berselli, Mar 21 2013

Example

0.8905362089950989926182520515535897745848226071517151...

Mathematica

RealDigits[E^EulerGamma/2, 10, 100] // First

Prog

(PARI) default(realprecision, 100); exp(Euler)/2 \\ G. C. Greubel, Aug 31 2018
(Magma) R:= RealField(100); Exp(EulerGamma(R))/2; // G. C. Greubel, Aug 31 2018

Crossrefs

Cf. A073004.

Sequence in context: A111253 A021533 A073242 * A021845 A133747 A222458

Adjacent sequences: A217594 A217595 A217596 * A217598 A217599 A217600

Keyword

nonn,cons

Author

Jean-François Alcover, Mar 19 2013

Status

approved