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

1,1

Comments

The parabiaugmented dodecahedron is Johnson solid J_59.

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

Links

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

Wikipedia, Parabiaugmented dodecahedron.

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.

Example

8.266124625416281110083485059340673098307800325954...

Mathematica

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

Crossrefs

Cf. A385803 (surface area).

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

Sequence in context: A234015 A322129 A019635 * A011468 A120219 A367899

Adjacent sequences: A385799 A385800 A385801 * A385803 A385804 A385805

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 09 2025

Status

approved