A386460 Decimal expansion of the surface area of an augmented truncated cube with unit edges.

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

Offset: 2

Author

Paolo Xausa, Jul 23 2025

Keywords

• nonn
• cons
• easy

Comments

The augmented truncated cube is Johnson solid J_66.

Examples

			34.33828804643758236859922626661459788652513451520...
		

Links

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

Crossrefs

Cf. A386459 (volume).

Cf. A002193, A010482, A386412, A386461.

Programs

Mathematica

First[RealDigits[15 + Sqrt[200] + Sqrt[27], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J66", "SurfaceArea"], 10, 100]]

Formula

Equals 15 + 10*sqrt(2) + 3*sqrt(3) = 15 + 10*A002193 + A010482.

Equals the largest root of x^4 - 60*x^3 + 896*x^2 + 120*x - 21596.