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

2,1

Comments

The triaugmented truncated dodecahedron is Johnson solid J_71.

Links

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

Wikipedia, Triaugmented truncated dodecahedron.

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.

Example

92.01180051437046094749799835011671208159334626...

Mathematica

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

Crossrefs

Cf. A386545 (surface area).

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

Sequence in context: A373776 A352688 A335539 * A193373 A246564 A357318

Adjacent sequences: A386541 A386542 A386543 * A386545 A386546 A386547

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 28 2025

Status

approved