A386464 Decimal expansion of the volume of an augmented truncated dodecahedron with unit edges.

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

Offset

2,1

Comments

The augmented truncated dodecahedron is Johnson solid J_68.

Links

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

Wikipedia, Augmented truncated dodecahedron.

Formula

Equals 505/12 + 81*sqrt(5)/4 = 505/12 + 81*A204188.

Equals A377695 + A179590.

Equals the largest root of 36*x^2 - 3030*x - 10055.

Example

87.3637098777040746856191001251416771010058551...

Mathematica

First[RealDigits[505/12 + 81/4*Sqrt[5], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J68", "Volume"], 10, 100]]

Crossrefs

Cf. A386465 (surface area).

Cf. A179590, A204188, A377695, A386411, A386459, A386466, A386544.

Sequence in context: A257581 A182499 A358943 * A198561 A086253 A388904

Adjacent sequences: A386461 A386462 A386463 * A386465 A386466 A386467

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 25 2025

Status

approved