A380942 Decimal expansion of the largest vertex angle, in radians, in a disdyakis triacontahedron face.

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

Offset: 1

Author

Paolo Xausa, Feb 09 2025

Keywords

• nonn
• cons
• easy

Comments

A disdyakis triacontahedron face is a scalene triangle with three acute angles.

Examples

			1.5531999505740762323183912046070949990519364517956...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Wikipedia, Disdyakis triacontahedron.

Crossrefs

Cf. A380940 (smallest face angle), A380941 (middle face angle).

Cf. A001622, A379388, A379708, A379709, A379710, A379711.

Programs

Mathematica

First[RealDigits[ArcCos[(7 - 4*GoldenRatio)/30], 10, 100]]

Formula

Equals arccos((7 - 4*A001622)/30).

Equals Pi - A380940 - A380941.