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A382007
Decimal expansion of the isoperimetric quotient of a pentagonal icositetrahedron.
1
8, 7, 2, 6, 2, 8, 3, 2, 9, 1, 2, 8, 6, 9, 9, 7, 5, 5, 5, 1, 3, 4, 9, 9, 9, 7, 4, 4, 6, 8, 5, 1, 4, 6, 7, 5, 7, 3, 3, 0, 1, 8, 7, 4, 5, 9, 8, 4, 6, 2, 0, 6, 6, 8, 9, 2, 6, 8, 1, 4, 4, 8, 1, 0, 4, 1, 7, 8, 8, 0, 3, 9, 1, 3, 9, 9, 5, 7, 8, 9, 2, 8, 9, 6, 8, 9, 8, 6, 5, 7
OFFSET
0,1
COMMENTS
For the definition of isoperimetric quotient of a solid, references and links, see A381684.
FORMULA
Equals 36*Pi*A378824^2/(A378823^3).
Equals Pi*r = A000796*r, where r is the largest real root of 1936363968*x^6 - 149531184*x^4 + 10260*x^2 - 1.
EXAMPLE
0.87262832912869975551349997446851467573301874598462...
MATHEMATICA
First[RealDigits[Pi*Root[1936363968*#^6 - 149531184*#^4 + 10260*#^2 - 1 &, 2], 10, 100]]
CROSSREFS
Cf. A378823 (surface area), A378824 (volume).
Sequence in context: A173598 A271727 A154164 * A021538 A179044 A084254
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Mar 19 2025
STATUS
approved