A361519 Decimal expansion of arccsch(Pi).
3, 1, 3, 1, 6, 5, 8, 8, 0, 4, 5, 0, 8, 6, 8, 3, 7, 5, 8, 7, 1, 8, 6, 9, 3, 0, 8, 2, 6, 5, 7, 0, 5, 9, 3, 1, 5, 2, 5, 1, 4, 2, 0, 4, 5, 5, 2, 0, 2, 1, 0, 1, 0, 5, 6, 4, 1, 5, 1, 0, 7, 0, 6, 4, 7, 2, 5, 8, 1, 9, 7, 3, 7, 6, 3, 4, 8, 0, 7, 5, 2, 2, 8, 5, 6, 2, 5, 3, 8, 0, 9, 8, 6, 0, 6, 7, 8, 0, 5, 0, 1, 8, 6, 6, 0
Offset: 0
Examples
0.313165880450868375871869308265705931525142045520210105641510706472...
Links
- Michael I. Shamos, A catalog of the real numbers (2011).
Programs
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Mathematica
RealDigits[ArcCsch[Pi], 10, 105][[1]]
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PARI
asinh(1/Pi) \\ Michel Marcus, Mar 15 2023
Formula
Equals arcsinh(1/Pi).
Equals log(sqrt(1/Pi^2 + 1) + 1/Pi).
Equals Integral_{x=Pi..oo} 1/(x*sqrt(1 + x^2)) dx.