A336741 Decimal expansion of Sum_{n>=2} 1/log(n)^sqrt(n).

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

Author

Bernard Schott, Aug 02 2020

Keywords

• nonn
• cons

Comments

The series u(n) = 1/log(n)^sqrt(n) is convergent because n^2 * u(n) -> 0 when n -> oo.

Examples

			4.372450021106629664550827989755553790410067553197...
		

References

• J.-M. Monier, Analyse, Tome 3, 2ème année, MP.PSI.PC.PT, Dunod, 1997, Exercice 3.2.1.d p. 247.

Crossrefs

Cf. A099870, A099871, A308915.

Programs

Maple

evalf(sum(1/(log(n)^sqrt(n), n=2..infinity), 120);

PARI

sumpos(n=2, 1/log(n)^sqrt(n)) \\ Michel Marcus, Aug 03 2020

Formula

Equals Sum_{n>=2} 1/log(n)^sqrt(n).

Extensions

More terms from Jinyuan Wang, Aug 03 2020