A083680 Decimal expansion of (3/2)*log(3/2).

6, 0, 8, 1, 9, 7, 6, 6, 2, 1, 6, 2, 2, 4, 6, 5, 7, 2, 9, 6, 7, 0, 1, 9, 6, 7, 3, 1, 9, 6, 5, 2, 3, 7, 0, 4, 8, 5, 7, 9, 8, 5, 6, 3, 5, 1, 9, 3, 7, 4, 1, 2, 9, 6, 4, 2, 1, 0, 2, 1, 4, 8, 6, 2, 1, 6, 1, 5, 1, 0, 0, 6, 8, 7, 3, 3, 7, 1, 3, 7, 6, 9, 0, 1, 6, 2, 8, 6, 4, 1, 7, 2, 5, 9, 7, 0, 1, 0, 1, 8, 6, 8, 9, 5

Offset

0,1

Comments

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

Links

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

Index entries for transcendental numbers

Formula

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...

Prog

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

Crossrefs

Cf. A016627.

Sequence in context: A365432 A279929 A244812 * A271869 A010491 A257095

Adjacent sequences: A083677 A083678 A083679 * A083681 A083682 A083683

Keyword

cons,nonn

Author

Benoit Cloitre, Jun 15 2003

Status

approved