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A361519
Decimal expansion of arccsch(Pi).
2
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
0,1
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.
EXAMPLE
0.313165880450868375871869308265705931525142045520210105641510706472...
MATHEMATICA
RealDigits[ArcCsch[Pi], 10, 105][[1]]
PROG
(PARI) asinh(1/Pi) \\ Michel Marcus, Mar 15 2023
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Wolfe Padawer, Mar 14 2023
STATUS
approved