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

2,1

Comments

The augmented truncated cube is Johnson solid J_66.

Links

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

Wikipedia, Augmented truncated cube.

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.

Example

34.33828804643758236859922626661459788652513451520...

Mathematica

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

Crossrefs

Cf. A386459 (volume).

Cf. A002193, A010482, A386412, A386461.

Sequence in context: A349945 A246820 A094237 * A016654 A090673 A270827

Adjacent sequences: A386457 A386458 A386459 * A386461 A386462 A386463

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 23 2025

Status

approved