A386459 Decimal expansion of the volume of an augmented truncated cube with unit edges.

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

Offset: 2

Author

Paolo Xausa, Jul 22 2025

Keywords

• nonn
• cons
• easy

Comments

The augmented truncated cube is Johnson solid J_66.

Examples

			15.5424723326565069269423398624517230857049...
		

Links

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

Crossrefs

Cf. A386460 (surface area).

Cf. A131594, A179587, A377299, A386411.

Programs

Mathematica

First[RealDigits[8 + 16*Sqrt[2]/3, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J66", "Volume"], 10, 100]]

Formula

Equals 8 + 16*sqrt(2)/3 = 8 + 16*A131594.

Equals A377299 + A179587.

Equals the largest root of 9*x^2 - 144*x + 64.