OFFSET
3,1
COMMENTS
An extremely slowly convergent series, converging in virtue of Leibniz's rule.
LINKS
Eric Weisstein's World of Mathematics, Leibniz Criterion.
Wikipedia, Alternating series test.
EXAMPLE
277.8674989684568172306449945790310149069364211466765...
MAPLE
evalf(sum((-1)^n/log(log(log(n))), n = 3..infinity), 120); # Maple 12.0 computes this expression with no problems, but later versions of Maple may have some problems with it.
MATHEMATICA
N[NSum[(-1)^n/Log[Log[Log[n]]], {n, 3, Infinity}, AccuracyGoal -> 500, Method -> "AlternatingSigns", WorkingPrecision -> 1000], 119] (* Mathematica needs higher precision than usual to compute this series *)
PROG
(PARI) default(realprecision, 200); precision(sumalt(n=3, (-1)^n/log(log(log(n)))), 120) /* PARI needs higher precision than usual to compute this series */
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Iaroslav V. Blagouchine, May 14 2015
STATUS
approved