A386544 Decimal expansion of the volume of a triaugmented truncated dodecahedron with unit edges.

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

Offset: 2

Author

Paolo Xausa, Jul 28 2025

Keywords

• nonn
• cons
• easy

Comments

The triaugmented truncated dodecahedron is Johnson solid J_71.

Examples

			92.01180051437046094749799835011671208159334626...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 2..10000
• Wikipedia, Triaugmented truncated dodecahedron.

Crossrefs

Cf. A386545 (surface area).

Cf. A002163, A179590, A377695, A385506, A385804, A386464, A386466.

Programs

Mathematica

First[RealDigits[7/12*(75 + 37*Sqrt[5]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J71", "Volume"], 10, 100]]

Formula

Equals (7/12)*(75 + 37*sqrt(5)) = (7/12)*(75 + 37*A002163).

Equals A377695 + 3*A179590.

Equals the largest root of 36*x^2 - 3150*x - 14945.