A244115 Decimal expansion of -zeta'(3) (the first derivative of the zeta function at 3).

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

Offset: 0

Author

Robert G. Wilson v, Jun 20 2014

Keywords

• nonn
• cons

Examples

			0.19812624288563685333068182150328579687554279346383500334688996319272566942265...
		

Links

• J. B. Rosser, L. Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. J. Math. 6 (1) (1962) 64-94, Table IV

Crossrefs

Cf. A073002, A261506, A288391.

Programs

Mathematica

RealDigits[-Zeta'[3], 10, 105][[1]]

Formula

Sum_{n>=1} log(n) / n^3. - Vaclav Kotesovec, Aug 22 2015