OFFSET
1,1
COMMENTS
Equivalently, minimum surface area among all closed cones enclosing a unit volume. It is attained when the cone is right circular and its height equals the diameter of its base multiplied by sqrt(2). Considering one of the ways of marketing ice cream, we might call it the "frozen cone constant".
For a general definition of surface index, see A232808.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 1..1000
Wikipedia, Cone
FORMULA
Equals (72*Pi)^(1/3) = 6*(Pi/3)^(1/3).
EXAMPLE
6.0929477853795556034363160089487569369107615150472...
MATHEMATICA
RealDigits[Surd[72*Pi, 3], 10, 120][[1]] (* Harvey P. Dale, Jul 13 2015 *)
CROSSREFS
KEYWORD
AUTHOR
Stanislav Sykora, Dec 04 2013
STATUS
approved