A385505 Decimal expansion of the volume of a biaugmented triangular prism with unit edge.

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

Offset: 0

Author

Paolo Xausa, Jul 01 2025

Keywords

• nonn
• cons
• easy

Comments

The biaugmented triangular prism is Johnson solid J_50.

Examples

			0.90441722268325100631575782677970078459225860524491...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Wikipedia, Biaugmented triangular prism.

Crossrefs

Cf. A384141 (surface area + 4).

Cf. A020763, A385506.

Programs

Mathematica

First[RealDigits[Sqrt[59/144 + 1/Sqrt[6]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J50", "Volume"], 10, 100]]

Formula

Equals sqrt(59/144 + 1/sqrt(6)) = sqrt(59/144 + A020763).

Equals the largest root of 20736*x^4 - 16992*x^2 + 25.