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A232813
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Decimal expansion of the minimum surface index of a closed cylinder.
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5
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5, 5, 3, 5, 8, 1, 0, 4, 4, 5, 9, 3, 2, 0, 8, 5, 2, 5, 7, 2, 9, 0, 4, 1, 1, 6, 3, 8, 7, 6, 6, 9, 6, 4, 0, 8, 0, 3, 4, 0, 1, 0, 8, 7, 9, 8, 6, 4, 7, 8, 5, 4, 9, 8, 8, 1, 7, 6, 5, 2, 6, 9, 2, 0, 0, 0, 4, 3, 0, 3, 8, 3, 1, 5, 1, 2, 7, 9, 8, 9, 5, 1, 9, 6, 5, 9, 2, 8, 4, 3, 5, 9, 1, 6, 0, 8, 1, 3, 5, 4, 0, 4, 1, 6, 7
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OFFSET
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1,1
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COMMENTS
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Equivalently, the minimum surface area among all closed cylinders (cans) enclosing a unit volume. It is attained when the cylinder is right circular and its height matches the diameter of its base. For evident reasons, this value should be called the 'cannery constant'. Its determination is a nice exercise in elementary analysis.
For a general definition of surface index, see A232808.
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LINKS
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FORMULA
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Equals (54*Pi)^(1/3) = 3*(2*Pi)^(1/3).
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EXAMPLE
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5.53581044593208525729041163876696408034010879864785498817652692...
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MATHEMATICA
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RealDigits[3 * Surd[2 * Pi, 3], 10, 120][[1]] (* Amiram Eldar, May 17 2023 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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