A394535 Decimal expansion of the surface area of a uniform octagonal antiprism with unit edges.

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

Offset

2,2

Links

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

David I. McCooey, Octagonal Antiprism.

Polytope Wiki, Octagonal antiprism.

Eric Weisstein's World of Mathematics, Antiprism.

Wikipedia, Antiprism.

Formula

Equals 4*(1 + sqrt(2) + sqrt(3)) = 4*A297701.

Equals the largest root of x^4 - 16*x^3 - 64*x^2 + 1024*x - 2048.

Example

16.585057479767889369316540262862281782049908516749...

Mathematica

First[RealDigits[4*(1 + Sqrt[2] + Sqrt[3]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["OctagonalAntiprism", "SurfaceArea"], 10, 100]]

Crossrefs

Cf. A394534 (volume), A394536 (midradius), A394537 (circumradius), A394538 (height).

Cf. A387320, A387323 (dihedral angles).

Cf. A297701.

Sequence in context: A298172 A225113 A329247 * A133618 A394103 A194599

Adjacent sequences: A394532 A394533 A394534 * A394536 A394537 A394538

Keyword

nonn,cons,easy

Author

Paolo Xausa, Apr 05 2026

Status

approved