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A257898
Decimal expansion of Sum_{n=2..infinity} (-1)^n/log(log(n)), negated.
8
1, 1, 4, 7, 7, 9, 6, 8, 0, 1, 3, 9, 8, 7, 0, 7, 5, 9, 1, 1, 5, 0, 7, 7, 8, 8, 9, 6, 7, 5, 6, 7, 9, 6, 1, 9, 1, 6, 6, 5, 1, 8, 8, 6, 8, 4, 3, 2, 8, 7, 6, 5, 2, 3, 0, 3, 2, 3, 1, 4, 7, 6, 5, 5, 4, 6, 8, 5, 6, 2, 1, 0, 6, 1, 4, 7, 4, 7, 0, 4, 4, 8, 9, 6, 5, 5, 8, 2, 4, 0, 2, 2, 1, 2, 7, 6, 5, 8, 9, 3, 1, 6, 1, 7, 7, 5, 5, 8, 5
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
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
STATUS
approved