A381689 Decimal expansion of the isoperimetric quotient of a truncated cuboctahedron (great rhombicuboctahedron).

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

Index entries for transcendental numbers

Formula

Equals 36*Pi*A377344^2/(A377343^3).

Equals (Pi/12)*(11 + 7*sqrt(2))^2/((2 + sqrt(2) + sqrt(3))^3) = A019679*(11 + A010549)^2/((2 + A002193 + A002194)^3).

Example

0.8390038051045342803688923433479361567507803475...

Mathematica

First[RealDigits[Pi/12*(11 + Sqrt[98])^2/(2 + Sqrt[2] + Sqrt[3])^3, 10, 100]]

Crossrefs

Cf. A377343 (surface area), A377344 (volume).

Cf. A002193, A002194, A010549, A019679, A381684.

Sequence in context: A099724 A024568 A166202 * A146482 A019938 A170937

Adjacent sequences: A381686 A381687 A381688 * A381690 A381691 A381692

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 06 2025

Status

approved