A386466 Decimal expansion of the volume of a parabiaugmented truncated dodecahedron with unit edges.

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

Offset

2,1

Comments

The parabiaugmented truncated dodecahedron is Johnson solid J_69.

Also the volume of a metabiaugmented truncated dodecahedron (Johnson solid J_70) with unit edges.

Links

Paolo Xausa, Table of n, a(n) for n = 2..10000

Wikipedia, Metabiaugmented truncated dodecahedron.

Wikipedia, Parabiaugmented truncated dodecahedron.

Formula

Equals (515 + 251*sqrt(5))/12 = (515 + 251*A002163)/12.

Equals A377695 + 2*A179590.

Equals the largest root of 36*x^2 - 3090*x - 12445.

Example

89.68775519603726781655854923762919459129960068854...

Mathematica

First[RealDigits[(515 + 251*Sqrt[5])/12, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J69", "Volume"], 10, 100]]

Crossrefs

Cf. A386543 (surface area).

Cf. A002163, A179590, A377695, A385578, A385802, A386464, A386544.

Sequence in context: A394919 A178856 A321161 * A172081 A154842 A394587

Adjacent sequences: A386463 A386464 A386465 * A386467 A386468 A386469

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 25 2025

Status

approved