A083680 - OEIS

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

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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