A385256 Decimal expansion of the volume of a gyroelongated triangular bicupola with unit edge.

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

Offset: 1

Author

Paolo Xausa, Jun 24 2025

Keywords

• nonn
• cons
• easy

Comments

The gyroelongated triangular bicupola is Johnson solid J_44.

Examples

			4.6945643929158936762142216512961490819695690656940...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Wikipedia, Gyroelongated triangular bicupola.

Crossrefs

Cf. A385257 (surface area).

Cf. A002193, A002193, A384143.

Programs

Mathematica

First[RealDigits[Sqrt[2]*(5/3 + Sqrt[1 + Sqrt[3]]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J44", "Volume"], 10, 100]]

Formula

Equals sqrt(2)*(5/3 + sqrt(1 + sqrt(3))) = A002193*(5/3 + sqrt(A090388)).

Equals the largest real root of 6561*x^8 - 198288*x^6 + 1506600*x^4 - 7125696*x^2 + 2704.