|
%I #20 Sep 08 2022 08:46:04
%S 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,
%T 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,
%U 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
%N Decimal expansion of exp(gamma)/2.
%C Also, decimal expansion of lim_{n->oo} 1/log(n)*primeProduct_{2<p<n} p/(p-1).
%C 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
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 86.
%H G. C. Greubel, <a href="/A217597/b217597.txt">Table of n, a(n) for n = 0..10000</a>
%F Equals A073004/2. - _Bruno Berselli_, Mar 21 2013
%e 0.8905362089950989926182520515535897745848226071517151...
%t RealDigits[E^EulerGamma/2, 10, 100] // First
%o (PARI) default(realprecision, 100); exp(Euler)/2 \\ _G. C. Greubel_, Aug 31 2018
%o (Magma) R:= RealField(100); Exp(EulerGamma(R))/2; // _G. C. Greubel_, Aug 31 2018
%Y Cf. A073004.
%K nonn,cons
%O 0,1
%A _Jean-François Alcover_, Mar 19 2013
|
