A380862 Decimal expansion of the largest acute angles, in radians, in a deltoidal hexecontahedron face.

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

Offset

1,2

Comments

A deltoidal hexecontahedron face is a kite with one smallest acute angle (A380861), two largest acute angles (this constant) and one obtuse angle (A380863).

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Wikipedia, Deltoidal hexecontahedron.

Formula

Equals arccos(1/2 - 1/sqrt(5)) = arccos(1/2 - A020762).

Equals (2*Pi - A380861 - A380863)/2.

Example

1.517985377460215463602191357386072448171233382527...

Mathematica

First[RealDigits[ArcCos[1/2 - 1/Sqrt[5]], 10, 100]]

Crossrefs

Cf. A020762, A379385, A379386, A379387, A379388, A379389, A380861, A380863.

Sequence in context: A001945 A342921 A342417 * A233091 A286941 A332459

Adjacent sequences: A380857 A380860 A380861 * A380863 A380864 A380865

Keyword

nonn,cons,easy,new

Author

Paolo Xausa, Feb 06 2025

Status

approved