A385802 Decimal expansion of the volume of a parabiaugmented dodecahedron with unit edge.

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

Offset: 1

Author

Paolo Xausa, Jul 09 2025

Keywords

• nonn
• cons
• easy

Comments

The parabiaugmented dodecahedron is Johnson solid J_59.

Also the volume of a metabiaugmented dodecahedron (Johnson solid J_60) with unit edge.

Examples

			8.266124625416281110083485059340673098307800325954...
		

Links

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

Crossrefs

Cf. A385803 (surface area).

Cf. A002163, A102769, A179552, A385695, A385804.

Programs

Mathematica

First[RealDigits[(25 + 11*Sqrt[5])/6, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J59", "Volume"], 10, 100]]

Formula

Equals (25 + 11*sqrt(5))/6 = (25 + 11*A002163)/6.

Equals A102769 + 2*A179552.

Equals the largest root of 9*x^2 - 75*x + 5.