A195774 Decimal expansion of arccot(6).

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

Offset

0,2

Links

Table of n, a(n) for n=0..107.

Formula

Equals Integral_{x >= 0} exp(-6*x)*sin(x)/x dx. - Peter Bala, Nov 05 2019

From Amiram Eldar, Jun 05 2021: (Start)

Equals Pi/2 - A195773.

Equals arcsin(1/sqrt(37)) = arccos(6/sqrt(37)) = arctan(1/6). (End)

Example

0.16514867741462683827912828964394345399...

Mathematica

N[ArcCot[6], 108]
RealDigits[%] (* Felix Fröhlich, Jun 05 2021 *)

Prog

(PARI) atan(1/6) \\ Michel Marcus, Jun 05 2021

Crossrefs

Cf. A195773.

Sequence in context: A126743 A046613 A296470 * A320833 A216582 A340543

Adjacent sequences: A195771 A195772 A195773 * A195775 A195776 A195777

Keyword

nonn,cons

Author

Clark Kimberling, Sep 24 2011

Extensions

a(99) corrected by Georg Fischer, Jul 10 2021

Status

approved