A360938 Decimal expansion of arcsinh(Pi).

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.

Links

Table of n, a(n) for n=1..105.

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

Cf. A188725, A359540, A361518, A361519.

Sequence in context: A021541 A066716 A339801 * A272006 A033952 A365254

Adjacent sequences: A360935 A360936 A360937 * A360939 A360940 A360941

Keyword

cons,nonn,changed

Author

Wolfe Padawer, Feb 26 2023

Status

approved