A372861 Decimal expansion of (1 + log(16))/256.
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, 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, 2, 7, 5, 3, 4, 3, 2, 7, 6, 4, 7, 9, 9, 3, 1, 3, 4
Offset: 0
Examples
0.0147366746962491454596442518977840088761796895993...
Programs
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Mathematica
s = Integrate[Log[x]/x^5, {x, 2, Infinity}] d = N[s, 100] Join[{0}, First[RealDigits[d]]] N[1/256 (1 + Log[16]), 100]
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PARI
(log(16)+1)/256 \\ Charles R Greathouse IV, Nov 21 2024
Formula
Equals Integral_{x=2..oo} log(x)/x^5 dx.