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A381687
Decimal expansion of the isoperimetric quotient of a truncated octahedron.
1
7, 5, 3, 3, 6, 6, 6, 2, 5, 1, 6, 6, 1, 5, 6, 8, 8, 2, 2, 2, 9, 4, 8, 9, 4, 1, 4, 5, 7, 8, 7, 5, 1, 3, 6, 1, 9, 2, 7, 7, 0, 4, 5, 9, 5, 8, 6, 6, 2, 4, 9, 7, 1, 9, 8, 1, 3, 1, 4, 0, 1, 0, 3, 4, 9, 3, 7, 8, 4, 1, 9, 0, 6, 3, 4, 1, 2, 3, 5, 8, 1, 5, 8, 5, 1, 1, 7, 3, 2, 1
OFFSET
0,1
COMMENTS
For the definition of isoperimetric quotient of a solid, references and links, see A381684.
FORMULA
Equals 36*Pi*A377342^2/(A377341^3).
Equals 64*Pi/(3*(1 + 2*sqrt(3))^3) = 64*A000796/(3*(1 + A010469)^3).
EXAMPLE
0.753366625166156882229489414578751361927704595866...
MATHEMATICA
First[RealDigits[64*Pi/(3*(1 + 2*Sqrt[3])^3), 10, 100]]
CROSSREFS
Cf. A377341 (surface area), A377342 (volume).
Sequence in context: A360895 A335985 A093824 * A203142 A176974 A198983
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Mar 04 2025
STATUS
approved