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

Author

Benoit Cloitre, Jun 15 2003

Keywords

• cons
• nonn

Comments

More generally for x > 1: Sum_{k>=1} H(k)/x^k = x/(1-x)*log(1-1/x).

Examples

			0.60819766216224657296701967319652370485798563519374...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A001008, A002805, A016627.

Programs

Mathematica

RealDigits[(3/2)*Log[3/2], 10, 120][[1]] (* Amiram Eldar, Apr 28 2025 *)

PARI

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

Formula

Equals Sum_{k>=1} H(k)/3^k where H(k) is the k-th harmonic number.