A372860 Decimal expansion of (1 + log(8))/72.

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

Offset: 0

Author

Clark Kimberling, Jun 12 2024

Keywords

• nonn
• cons

Examples

			0.04277002141221994344794022728297957922536806115389...
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A372858, A372859, A372861.

Programs

Mathematica

s = Integrate[Log[x]/x^4, {x, 2, Infinity}]
d = N[s, 100]
Join[{0},First[RealDigits[d]]]
N[1/72  (1 + Log[8]), 100]

PARI

(log(8)+1)/72 \\ Charles R Greathouse IV, Nov 21 2024

Formula

Equals Integral_{x=2..oo} log(x)/x^4 dx.