A382006 Decimal expansion of the isoperimetric quotient of a disdyakis dodecahedron.

9, 1, 0, 0, 6, 5, 6, 3, 8, 8, 0, 8, 0, 3, 1, 1, 7, 0, 5, 9, 1, 2, 3, 8, 0, 8, 5, 7, 0, 5, 3, 7, 1, 4, 9, 8, 4, 4, 5, 5, 8, 3, 5, 4, 5, 4, 0, 5, 9, 5, 2, 7, 6, 9, 3, 9, 8, 2, 5, 2, 3, 6, 3, 1, 6, 6, 9, 1, 6, 1, 4, 1, 6, 3, 6, 5, 1, 7, 5, 8, 9, 1, 5, 4, 7, 8, 3, 7, 3, 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*A378713^2/(A378712^3).

Equals (Pi*7/97)*sqrt((1709 + 1002*sqrt(2))/194) = (A000796*7/97)*sqrt((1709 + 1002*A002193)/194).

Example

0.91006563880803117059123808570537149844558354540595...

Mathematica

First[RealDigits[Pi*7/97*Sqrt[(1709 + 1002*Sqrt[2])/194], 10, 100]]

Crossrefs

Cf. A378712 (surface area), A378713 (volume).

Cf. A000796, A002193, A381684.

Sequence in context: A249489 A166734 A155783 * A257097 A256667 A175764

Adjacent sequences: A382003 A382004 A382005 * A382007 A382008 A382009

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 18 2025

Status

approved