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A308915 Decimal expansion of Sum_{n>=1} 1/(log(n)^log(n)). 0
6, 7, 1, 6, 9, 7, 0, 6, 1, 2, 9, 9, 0, 8, 9, 6, 0, 8, 8, 1, 4, 4, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This series is convergent because n^2 * 1/log(n)^log(n) = exp(log(n) * (2 - log(log(n)))) which -> 0 as n -> oo.

REFERENCES

Jean-Marie Monier, Analyse, Exercices corrigés, 2ème année MP, Dunod, 1997, Exercice 3.2.1.i p. 279.

LINKS

Table of n, a(n) for n=1..24.

FORMULA

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

EXAMPLE

6.71697061299089608814457...

MAPLE

evalf(sum(1/(log(n)^log(n)), n=1..infinity), 110);

MATHEMATICA

RealDigits[N[1 + Sum[1/Log[n]^Log[n], {n, 2, Infinity}], 100]][[1]] (* Jinyuan Wang, Jul 25 2019 *)

PROG

(PARI) 1 + sumpos(n=2, 1/(log(n)^log(n))) \\ Michel Marcus, Jun 30 2019

CROSSREFS

Cf. A073009 (1/n^n), A099870 (1/n^log(n)), A099871 (1/log(n)^n).

Sequence in context: A011483 A319458 A296459 * A294644 A256128 A280501

Adjacent sequences:  A308911 A308912 A308913 * A308916 A308917 A308918

KEYWORD

cons,nonn,more

AUTHOR

Bernard Schott, Jun 30 2019

EXTENSIONS

More terms from Jon E. Schoenfield, Jun 30 2019

a(16)-a(24) from Jinyuan Wang, Jul 10 2019

STATUS

approved

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Last modified November 13 15:41 EST 2019. Contains 329106 sequences. (Running on oeis4.)