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

Author

Wolfe Padawer, Feb 26 2023

Keywords

• cons
• nonn

Examples

			1.862295743310848219888361325182620574902674184961554765612879514423...
		

References

• Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 31, page 291.

Crossrefs

Cf. A188725, A359540, A361518, A361519.

Programs

Mathematica

RealDigits[ArcSinh[Pi], 10, 105][[1]]

PARI

asinh(Pi) \\ Michel Marcus, Feb 26 2023

Formula

Equals log(Pi + sqrt(Pi^2 + 1)) = log(A188725).

Equals Pi*Integral_{x=0..1} 1/sqrt((Pi^2)*x^2 + 1) dx.