A244115 - OEIS

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

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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]]