A361519 - OEIS

%I #13 Apr 04 2023 01:25:08

%S 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,

%T 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,

%U 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

%N Decimal expansion of arccsch(Pi).

%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a> (2011).

%F Equals arcsinh(1/Pi).

%F Equals log(sqrt(1/Pi^2 + 1) + 1/Pi).

%F Equals Integral_{x=Pi..oo} 1/(x*sqrt(1 + x^2)) dx.

%e 0.313165880450868375871869308265705931525142045520210105641510706472...

%t RealDigits[ArcCsch[Pi], 10, 105][[1]]

%o (PARI) asinh(1/Pi) \\ _Michel Marcus_, Mar 15 2023

%Y Cf. A359540, A360938, A361518.

%K cons,nonn

%O 0,1

%A _Wolfe Padawer_, Mar 14 2023