A382011 Decimal expansion of the isoperimetric quotient of a deltoidal hexecontahedron.

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

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*A379386^2/(A379385^3).

Equals (Pi/205)*sqrt((78119 + 34912*sqrt(5))/41) = (A000796/205)*sqrt((78119 + 34912*A002163)/41).

Example

0.94585201935672373543294815069379894720694870891...

Mathematica

First[RealDigits[Pi/205*Sqrt[(78119 + 34912*Sqrt[5])/41], 10, 100]]

Crossrefs

Cf. A379385 (surface area), A379386 (volume).

Cf. A000796, A002163, A381684.

Sequence in context: A154900 A246546 A172197 * A388499 A382013 A016630

Adjacent sequences: A382008 A382009 A382010 * A382012 A382013 A382014

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 20 2025

Status

approved