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%I #19 Sep 03 2023 15:24:25
%S 6,0,9,2,9,4,7,7,8,5,3,7,9,5,5,5,6,0,3,4,3,6,3,1,6,0,0,8,9,4,8,7,5,6,
%T 9,3,6,9,1,0,7,6,1,5,1,5,0,4,7,2,0,7,1,7,3,2,1,3,0,5,2,1,5,2,9,0,1,1,
%U 2,8,0,7,0,2,4,1,1,7,9,6,0,6,9,6,2,2,1,2,0,4,7,0,7,6,5,6,3,9,1,8,0,0,3,2,6
%N Decimal expansion of the minimum surface index of a closed cone.
%C 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".
%C For a general definition of surface index, see A232808.
%H Stanislav Sykora, <a href="/A232815/b232815.txt">Table of n, a(n) for n = 1..1000</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Cone">Cone</a>
%F Equals (72*Pi)^(1/3) = 6*(Pi/3)^(1/3).
%e 6.0929477853795556034363160089487569369107615150472...
%t RealDigits[Surd[72*Pi,3],10,120][[1]] (* _Harvey P. Dale_, Jul 13 2015 *)
%Y Cf. Other surface indices: A232808 (spheres), A232809, A232810, A232811, A232812 (platonic solids), A232813 (closed cylinders), A232814 (open cylinders), A232816 (open cones), A232817 (open tubes).
%K nonn,cons,easy
%O 1,1
%A _Stanislav Sykora_, Dec 04 2013
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