OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.9 p. 122.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
FORMULA
EXAMPLE
0.4545121805146463170328014636843273993...
MAPLE
evalf(exp(-sum((1-Zeta(n))/(1-n), n=2..infinity)), 120); # Vaclav Kotesovec, Dec 11 2015
MATHEMATICA
Exp[-NSum[(1-Zeta[n])/(1-n), {n, 2, Infinity}, NSumTerms -> 300, WorkingPrecision -> 110]] // RealDigits[#, 10, 100]& // First
PROG
(PARI) default(realprecision, 100); exp(suminf(n=2, (zeta(n)-1)/(1-n))) \\ G. C. Greubel, Nov 15 2018
(Magma) SetDefaultRealField(RealField(100)); L:=RiemannZeta(); Exp((&+[(Evaluate(L, n)-1)/(1-n): n in [2..10^3]])); // G. C. Greubel, Nov 15 2018
(Sage) numerical_approx(exp(sum((zeta(k)-1)/(1-k) for k in [2..1000])), digits=100) # G. C. Greubel, Nov 15 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, May 19 2014
EXTENSIONS
Mma modified and data extended by Jean-François Alcover, May 23 2014
STATUS
approved