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

0,2

Links

Table of n, a(n) for n=0..104.

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

Formula

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

Example

0.19812624288563685333068182150328579687554279346383500334688996319272566942265...

Mathematica

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

Crossrefs

Cf. A073002, A261506, A288391.

Sequence in context: A373863 A198920 A354593 * A053004 A019888 A154975

Adjacent sequences: A244112 A244113 A244114 * A244116 A244117 A244118

Keyword

nonn,cons

Author

Robert G. Wilson v, Jun 20 2014

Status

approved