login
A382010
Decimal expansion of the isoperimetric quotient of a pentakis dodecahedron.
1
9, 3, 9, 7, 0, 7, 0, 8, 1, 3, 0, 2, 9, 9, 6, 8, 4, 7, 7, 1, 6, 0, 2, 5, 1, 6, 0, 1, 6, 4, 0, 7, 3, 5, 6, 6, 0, 2, 6, 7, 8, 2, 1, 3, 3, 2, 5, 1, 5, 7, 6, 7, 3, 6, 1, 0, 6, 6, 5, 0, 8, 7, 1, 8, 1, 9, 3, 2, 1, 3, 1, 0, 8, 0, 3, 2, 6, 2, 1, 9, 4, 3, 0, 5, 9, 3, 6, 5, 2, 0
OFFSET
0,1
COMMENTS
For the definition of isoperimetric quotient of a solid, references and links, see A381684.
FORMULA
Equals 36*Pi*A379133^2/(A379132^3).
Equals (Pi*3/545)*sqrt((323309 + 143289*sqrt(5))/218) = (A000796*3/545)*sqrt((323309 + 143289*A002163)/218).
EXAMPLE
0.93970708130299684771602516016407356602678213325...
MATHEMATICA
First[RealDigits[3*Pi/545*Sqrt[(323309 + 143289*Sqrt[5])/218], 10, 100]]
CROSSREFS
Cf. A379132 (surface area), A379133 (volume).
Sequence in context: A196829 A019879 A334376 * A361062 A003565 A238105
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Mar 20 2025
STATUS
approved