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

1,2

Comments

The metabidiminished icosahedron is Johnson solid J_62.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Wikipedia, Metabidiminished icosahedron.

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.

Example

1.5786893258332632321363912229104254118135394532...

Mathematica

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

Crossrefs

Cf. A384625 (surface area + 10).

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

Sequence in context: A354051 A395526 A197491 * A338595 A394469 A397003

Adjacent sequences: A385854 A385855 A385856 * A385858 A385859 A385860

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 14 2025

Status

approved