A385695 Decimal expansion of the volume of an augmented dodecahedron with unit edge.

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

Offset: 1

Author

Paolo Xausa, Jul 08 2025

Keywords

• nonn
• cons
• easy

Comments

The augmented dodecahedron is Johnson solid J_58.

Examples

			7.9646217930204565393997694898102032551644412276373...
		

Links

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

Crossrefs

Cf. A385696 (surface area).

Cf. A002163, A102769, A179552, A385802, A385804.

Programs

Mathematica

First[RealDigits[(95 + 43*Sqrt[5])/24, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J58", "Volume"], 10, 100]]

Formula

Equals (95 + 43*sqrt(5))/24 = (95 + 43*A002163)/24.

Equals A102769 + A179552.

Equals the largest root of 144*x^2 - 1140*x - 55.