A385569 Decimal expansion of the volume of an augmented hexagonal prism with unit edge.

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

Offset: 1

Author

Paolo Xausa, Jul 03 2025

Keywords

• nonn
• cons
• easy

Comments

The augmented hexagonal prism is Johnson solid J_54.

Examples

			2.8337784717488317817581176329604248968424865266117...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Wikipedia, Augmented hexagonal prism.

Crossrefs

Cf. A354129 (surface area + 2).

Cf. A002193, A002194, A385505, A385506, A385509.

Programs

Mathematica

First[RealDigits[(Sqrt[2] + 9*Sqrt[3])/6, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J54", "Volume"], 10, 100]]

Formula

Equals (sqrt(2) + 9*sqrt(3))/6 = (A002193 + 9*A002194)/6.

Equals the largest root of 1296*x^4 - 17640*x^2 + 58081.