0,1

More generally for x>1 : sum(k>=1,H(k)/x^k) = x/(1-x)*log(1-1/x)

Table of n, a(n) for n=0..103.

Index entries for transcendental numbers

3/2*log(3/2)=sum(k>=1, H(k)/3^k) where H(k) is the k-th harmonic number. 3/2*log(3/2)=0.6081976621622465729670196731965237...

(PARI) log(3/2)*3/2 \\ Charles R Greathouse IV, May 15 2019

Cf. A016627.

Sequence in context: A066362 A279929 A244812 * A271869 A010491 A257095

Adjacent sequences: A083677 A083678 A083679 * A083681 A083682 A083683

cons,nonn

Benoit Cloitre, Jun 15 2003

approved