A377298 Decimal expansion of the surface area of a truncated cube with unit edge length.

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

Offset

2,1

Links

Table of n, a(n) for n=2..91.

Polytope Wiki, Truncated cube.

Eric Weisstein's World of Mathematics, Truncated Cube.

Wikipedia, Truncated cube.

Index entries for algebraic numbers, degree 4.

Formula

Equals 2*(6 + 6*sqrt(2) + sqrt(3)) = 2*(6 + 2*A002193 + A002194) = 12 + 2*A010524 + A010469.

Minimal polynomial: x^4 - 48*x^3 + 264*x^2 + 7488*x + 10512. - Amiram Eldar, Jun 10 2026

Example

32.4346643636148951726751573735281216767216730121...

Mathematica

First[RealDigits[2*(6 + Sqrt[72] + Sqrt[3]), 10, 100]]
(* Alternative: *)
First[RealDigits[PolyhedronData["TruncatedCube", "SurfaceArea"], 10, 100]]

Crossrefs

Cf. A377299 (volume), A294968 (circumradius), A010503 (midradius - 1), A377296 (Dehn invariant, negated).

Cf. A002193, A002194, A010469, A010524.

Sequence in context: A007456 A316141 A119707 * A354679 A307118 A052938

Adjacent sequences: A377295 A377296 A377297 * A377299 A377300 A377301

Keyword

nonn,cons,easy,changed

Author

Paolo Xausa, Oct 25 2024

Status

approved