A361519 Decimal expansion of arccsch(Pi).

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

Links

Table of n, a(n) for n=0..104.

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

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

Cf. A359540, A360938, A361518.

Sequence in context: A317144 A050336 A281113 * A236757 A095250 A135521

Adjacent sequences: A361516 A361517 A361518 * A361520 A361521 A361522

Keyword

cons,nonn

Author

Wolfe Padawer, Mar 14 2023

Status

approved