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A195695 Decimal expansion of arcsin(sqrt(1/3)) and of arccos(sqrt(2/3)). 6
6, 1, 5, 4, 7, 9, 7, 0, 8, 6, 7, 0, 3, 8, 7, 3, 4, 1, 0, 6, 7, 4, 6, 4, 5, 8, 9, 1, 2, 3, 9, 9, 3, 6, 8, 7, 8, 5, 5, 1, 7, 0, 0, 0, 4, 6, 7, 7, 5, 4, 7, 4, 1, 9, 5, 2, 7, 7, 7, 4, 1, 6, 6, 8, 3, 1, 9, 9, 6, 1, 5, 7, 2, 3, 9, 1, 2, 8, 0, 4, 3, 9, 2, 6, 6, 2, 5, 8, 1, 0, 0, 8, 5, 4, 3, 0, 4, 6, 0, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The complementary magic angle, that is, Pi/2 - A195696. The angle between the body-diagonal and a congruent face-diagonal of a cube. And also the polar angle of the cone circumscribed to a regular tetrahedron from one of its vertices. - Stanislav Sykora, Nov 21 2013

LINKS

Table of n, a(n) for n=0..99.

Wikipedia, Polyhedron, and further links therein.

EXAMPLE

arcsin(sqrt(1/3))=0.61547970867038734106746458912399...

MATHEMATICA

r = Sqrt[1/3];

N[ArcSin[r], 100]

RealDigits[%]  (* A195695 *)

N[ArcCos[r], 100]

RealDigits[%]  (* A195696 *)

N[ArcTan[r], 100]

RealDigits[%]  (* A019673 *)

N[ArcCos[-r], 100]

RealDigits[%]  (* A195698 *)

CROSSREFS

Cf. A195696 (magic angle), A195698, A020760, A157697, A243445.

Sequence in context: A212006 A245725 A011096 * A199047 A021623 A197296

Adjacent sequences:  A195692 A195693 A195694 * A195696 A195697 A195698

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Sep 23 2011

STATUS

approved

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Last modified June 28 11:55 EDT 2017. Contains 288823 sequences.