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A360938
Decimal expansion of arcsinh(Pi).
4
1, 8, 6, 2, 2, 9, 5, 7, 4, 3, 3, 1, 0, 8, 4, 8, 2, 1, 9, 8, 8, 8, 3, 6, 1, 3, 2, 5, 1, 8, 2, 6, 2, 0, 5, 7, 4, 9, 0, 2, 6, 7, 4, 1, 8, 4, 9, 6, 1, 5, 5, 4, 7, 6, 5, 6, 1, 2, 8, 7, 9, 5, 1, 4, 4, 2, 3, 7, 3, 6, 5, 4, 5, 7, 3, 5, 7, 9, 8, 0, 0, 2, 9, 5, 1, 8, 7, 1, 9, 9, 7, 0, 1, 5, 6, 6, 1, 4, 6, 3, 3, 4, 5, 8, 5
OFFSET
1,2
REFERENCES
Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 31, page 291.
FORMULA
Equals log(Pi + sqrt(Pi^2 + 1)) = log(A188725).
Equals Pi*Integral_{x=0..1} 1/sqrt((Pi^2)*x^2 + 1) dx.
EXAMPLE
1.862295743310848219888361325182620574902674184961554765612879514423...
MATHEMATICA
RealDigits[ArcSinh[Pi], 10, 105][[1]]
PROG
(PARI) asinh(Pi) \\ Michel Marcus, Feb 26 2023
CROSSREFS
KEYWORD
cons,nonn,changed
AUTHOR
Wolfe Padawer, Feb 26 2023
STATUS
approved