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A336741
Decimal expansion of Sum_{n>=2} 1/log(n)^sqrt(n).
2
4, 3, 7, 2, 4, 5, 0, 0, 2, 1, 1, 0, 6, 6, 2, 9, 6, 6, 4, 5, 5, 0, 8, 2, 7, 9, 8, 9, 7, 5, 5, 5, 5, 3, 7, 9, 0, 4, 1, 0, 0, 6, 7, 5, 5, 3, 1, 9, 7, 0, 6, 5, 5, 7, 3, 0, 7, 5, 7, 4, 9, 2, 5, 0, 6, 6, 0, 1, 8, 8, 2, 7, 3, 4, 5, 4, 1, 7, 1, 0, 1, 1, 2, 5, 2, 5, 1
OFFSET
1,1
COMMENTS
The series u(n) = 1/log(n)^sqrt(n) is convergent because n^2 * u(n) -> 0 when n -> oo.
REFERENCES
J.-M. Monier, Analyse, Tome 3, 2ème année, MP.PSI.PC.PT, Dunod, 1997, Exercice 3.2.1.d p. 247.
FORMULA
Equals Sum_{n>=2} 1/log(n)^sqrt(n).
EXAMPLE
4.372450021106629664550827989755553790410067553197...
MAPLE
evalf(sum(1/(log(n)^sqrt(n), n=2..infinity), 120);
PROG
(PARI) sumpos(n=2, 1/log(n)^sqrt(n)) \\ Michel Marcus, Aug 03 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bernard Schott, Aug 02 2020
EXTENSIONS
More terms from Jinyuan Wang, Aug 03 2020
STATUS
approved