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A382009
Decimal expansion of the isoperimetric quotient of a triakis icosahedron.
2
9, 0, 5, 1, 8, 0, 8, 0, 1, 7, 4, 0, 2, 2, 9, 7, 9, 7, 6, 5, 2, 8, 5, 0, 2, 4, 1, 7, 9, 3, 5, 5, 3, 5, 8, 3, 3, 0, 0, 1, 7, 6, 0, 0, 6, 7, 2, 5, 5, 6, 8, 2, 8, 3, 8, 4, 3, 6, 7, 9, 2, 7, 1, 5, 4, 7, 1, 6, 8, 1, 7, 5, 6, 9, 7, 6, 8, 8, 3, 6, 8, 9, 0, 4, 0, 9, 6, 7, 9, 7
OFFSET
0,1
COMMENTS
For the definition of isoperimetric quotient of a solid, references and links, see A381684.
FORMULA
Equals 36*Pi*A378974^2/(A378973^3).
Equals (Pi/183)*sqrt((169753 + 75771*sqrt(5))/122) = (A000796/183)*sqrt((169753 + 75771*A002163)/122).
EXAMPLE
0.9051808017402297976528502417935535833001760067...
MATHEMATICA
First[RealDigits[Pi/183*Sqrt[(169753 + 75771*Sqrt[5])/122], 10, 100]]
CROSSREFS
Cf. A378973 (surface area), A378974 (volume).
Sequence in context: A021921 A388156 A374751 * A247718 A154399 A195483
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Mar 20 2025
STATUS
approved