A381688 Decimal expansion of the isoperimetric quotient of a (small) rhombicuboctahedron.

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

Offset: 0

Author

Paolo Xausa, Mar 04 2025

Keywords

• nonn
• cons
• easy

Comments

For the definition of isoperimetric quotient of a solid, references and links, see A381684.

Examples

			0.8684680457998683969444644014889968511341210788731...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A343964 (surface area), A343965 (volume).

Cf. A000796, A002193, A002194, A381684.

Programs

Mathematica

First[RealDigits[4*Pi*(43 + 30*Sqrt[2])/(9 + Sqrt[3])^3, 10, 100]]

Formula

Equals 36*Pi*A343965^2/(A343964^3).

Equals 4*Pi*(43 + 30*sqrt(2))/((9 + sqrt(3))^3) = 4*A000796*(43 + 30*A002193)/((9 + A002194)^3).