OFFSET
1,1
COMMENTS
Equivalently, the minimum external surface area among all pots or cups (half-open cylinders) delimiting a unit volume. It is attained when the cylinder is right circular and its height matches the radius of its base. We might call it the 'cooking pot constant'. It minimizes the material needed to make the pot (and also its cooling rate). Its determination is a nice exercise in elementary analysis.
For a general definition of surface index, see A232808.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 1..1000
Wikipedia, Cylinder (geometry).
FORMULA
Equals 3*Pi^(1/3) = 3*A092039.
EXAMPLE
4.3937756626845697890604275817913711752157905668838115230717678...
MATHEMATICA
RealDigits[3 * Surd[Pi, 3], 10, 120][[1]] (* Amiram Eldar, May 17 2023 *)
CROSSREFS
KEYWORD
AUTHOR
Stanislav Sykora, Dec 04 2013
STATUS
approved