OFFSET
2,3
COMMENTS
A very slowly convergent series, converging in virtue of Leibniz's rule.
LINKS
Eric Weisstein's World of Mathematics, Leibniz Criterion
Wikipedia, Alternating series test
EXAMPLE
-11.47796801398707591150778896756796191665188684328765...
MAPLE
evalf(sum((-1)^n/log(log(n)), n = 2..infinity), 120);
MATHEMATICA
NSum[(-1)^n/Log[Log[n]], {n, 2, Infinity}, AccuracyGoal -> 120, Method -> "AlternatingSigns", WorkingPrecision -> 200]
PROG
(PARI) default(realprecision, 120); sumalt(n=2, (-1)^n/log(log(n)))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Iaroslav V. Blagouchine, May 12 2015
STATUS
approved