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Decimal expansion of (1 + log(16))/256.
3

%I #7 Jun 30 2024 22:04:49

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

%T 8,8,7,6,1,7,9,6,8,9,5,9,9,3,7,8,9,8,8,3,4,5,6,3,5,6,2,5,1,4,8,3,3,4,

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

%N Decimal expansion of (1 + log(16))/256.

%F Equals Integral_{x=2..oo} log(x)/x^5 dx.

%e 0.0147366746962491454596442518977840088761796895993...

%t s = Integrate[Log[x]/x^5, {x, 2, Infinity}]

%t d = N[s, 100]

%t Join[{0}, First[RealDigits[d]]]

%t N[1/256 (1 + Log[16]), 100]

%Y Cf. A372858, A372859, A372860.

%K nonn,cons

%O 0,2

%A _Clark Kimberling_, Jun 12 2024