A381685 Decimal expansion of the isoperimetric quotient of a cuboctahedron.

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

Offset

0,1

Comments

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

Links

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

Formula

Equals 3600*Pi*A020775^2/(A343199^3).

Equals 25*Pi/((3 + sqrt(3))^3) = 25*A000796/((3 + A002194)^3).

Example

0.74121070749643846336987262839110414827328532846...

Mathematica

First[RealDigits[25*Pi/(3 + Sqrt[3])^3, 10, 100]]

Crossrefs

Cf. A020775 (volume, with offset 1), A343199 (surface area).

Cf. A000796, A002194, A381684.

Sequence in context: A021935 A131028 A225463 * A010138 A371851 A199157

Adjacent sequences: A381682 A381683 A381684 * A381686 A381687 A381688

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 04 2025

Status

approved