A195781 Decimal expansion of arctan(8).

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

Offset

1,2

Links

Table of n, a(n) for n=1..100.

Formula

Equals arccot(1/8) = arcsin(8/sqrt(65)) = arccos(1/sqrt(65)). - Amiram Eldar, May 24 2021

Equals arctan(1) + arctan(1/2) + arctan(1/5). - Amiram Eldar, Jan 11 2022

Example

arctan(8) = 1.4464413322481351841999668424758804165254145079...

Mathematica

r = 8;
N[ArcTan[r], 100]
RealDigits[%][[1]]

Crossrefs

Cf. A195782, A195783, A195784.

Sequence in context: A284693 A021228 A236230 * A059656 A205373 A064041

Adjacent sequences: A195778 A195779 A195780 * A195782 A195783 A195784

Keyword

nonn,cons

Author

Clark Kimberling, Sep 24 2011

Status

approved