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Decimal expansion of -zeta'(4).
11

%I #5 Sep 13 2018 13:28:55

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

%T 2,7,1,5,0,0,1,6,3,7,4,8,7,1,3,7,8,4,6,3,8,2,7,5,8,5,7,0,6,0,1,8,4,2,

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

%N Decimal expansion of -zeta'(4).

%H J. B. Rosser, L. Schoenfeld, <a href="https://projecteuclid.org/euclid.ijm/1255631807">Approximate formulas for some functions of prime numbers</a>, Ill. J. Math. 6 (1) (1962) 64-94, Table IV

%F Sum_{n>=1} log(n) / n^4.

%e 0.06891126589612537984882936558744082715001637487137...

%t Flatten[{0, RealDigits[-Zeta'[4], 10, 105][[1]]}]

%Y Cf. A075700 (0), A073002 (2), A244115 (3).

%Y Cf. A084448 (-1), A240966 (-2), A259068 (-3), A259069 (-4), A259070 (-5), A259071 (-6), A259072 (-7), A259073 (-8).

%K nonn,cons

%O 0,2

%A _Vaclav Kotesovec_, Aug 22 2015