A385857 Decimal expansion of the volume of a metabidiminished icosahedron with unit edge.

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

Offset: 1

Author

Paolo Xausa, Jul 14 2025

Keywords

• nonn
• cons
• easy

Comments

The metabidiminished icosahedron is Johnson solid J_62.

Examples

			1.5786893258332632321363912229104254118135394532...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Wikipedia, Metabidiminished icosahedron.

Crossrefs

Cf. A384625 (surface area + 10).

Cf. A010476, A102208, A179552, A386000, A386002.

Programs

Mathematica

First[RealDigits[(5 + Sqrt[20])/6, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J62", "Volume"], 10, 100]]

Formula

Equals (5 + 2*sqrt(5))/6 = (5 + A010476)/6.

Equals A102208 - 2*A179552.

Equals the largest root of 36*x^2 - 60*x + 5.