A361518 Decimal expansion of arccoth(Pi).

3, 2, 9, 7, 6, 5, 3, 1, 4, 9, 5, 6, 6, 9, 9, 1, 0, 7, 6, 1, 7, 8, 6, 3, 4, 1, 7, 5, 5, 5, 2, 1, 8, 6, 0, 4, 2, 7, 0, 1, 3, 7, 3, 9, 1, 1, 4, 0, 6, 9, 2, 4, 1, 4, 4, 0, 2, 9, 0, 8, 3, 5, 4, 7, 6, 2, 0, 0, 6, 2, 8, 3, 7, 3, 1, 5, 6, 7, 1, 7, 2, 8, 6, 1, 1, 8, 2, 6, 3, 6, 4, 8, 6, 3, 6, 2, 7, 1, 4, 0, 8, 0, 1, 6, 5

Offset: 0

Author

Wolfe Padawer, Mar 14 2023

Keywords

• cons
• nonn

Examples

			0.329765314956699107617863417555218604270137391140692414402908354762...
		

References

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

Links

• Michael I. Shamos, A catalog of the real numbers (2011).

Crossrefs

Cf. A359540, A360938, A361519.

Programs

Mathematica

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

PARI

atanh(1/Pi) \\ Michel Marcus, Mar 15 2023

Formula

Equals arctanh(1/Pi).

Equals (log(1 + 1/Pi) - log(1 - 1/Pi))/2.

Equals Sum_{k>=0} (Pi^(-2k - 1))/(2k + 1).

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