A382012 Decimal expansion of the isoperimetric quotient of a disdyakis triacontahedron.

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

Offset

0,1

Comments

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

The disdyakis triacontahedron is the Catalan solid with the highest isoperimetric quotient.

Links

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

Index entries for transcendental numbers

Formula

Equals 36*Pi*A379709^2/(A379708^3).

Equals Pi*r = A000796*r, where r is the largest root of 13997521*x^4 - 1302278*x^2 + 121.

Example

0.95776502384780769076187408953240617790783343820517...

Mathematica

First[RealDigits[Pi*Root[13997521*#^4 - 1302278*#^2 + 121 &, 4], 10, 100]]

Crossrefs

Cf. A379708 (surface area), A379709 (volume).

Cf. A000796, A381684.

Sequence in context: A377616 A155754 A273840 * A117019 A155692 A394289

Adjacent sequences: A382009 A382010 A382011 * A382013 A382014 A382015

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 20 2025

Status

approved