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A268604 Decimal expansion of 6/sqrt(sqrt(3)). 2

%I #9 Mar 09 2016 13:19:48

%S 4,5,5,9,0,1,4,1,1,3,9,0,9,5,5,5,2,8,3,9,8,7,1,2,6,5,0,3,9,2,7,2,7,2,

%T 0,1,2,3,8,0,6,4,0,6,9,3,3,2,3,8,6,1,9,1,1,6,6,7,7,3,1,9,2,2,2,0,1,9,

%U 3,3,3,9,9,0,2,6,2,8,3,6,2,9,5,6,6,4,6,3,6,8,4

%N Decimal expansion of 6/sqrt(sqrt(3)).

%C This is the smallest possible perimeter index P/sqrt(A), with P being the perimeter and A the enclosed area, among all triangles, and sets of triangles, in the Euclidean plane. The minimum value is attained by a single equilateral triangle. See also A019707.

%H Stanislav Sykora, <a href="/A268604/b268604.txt">Table of n, a(n) for n = 1..2000</a>

%e 4.559014113909555283987126503927272012380640693323861911667731922...

%t RealDigits[6/Sqrt[Sqrt[3]], 10, 100][[1]] (* _Bruno Berselli_, Feb 09 2016 *)

%o (PARI) a=6/sqrt(sqrt(3))

%Y Cf. A011002, A019707.

%K nonn,cons

%O 1,1

%A _Stanislav Sykora_, Feb 08 2016

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Last modified May 3 02:34 EDT 2024. Contains 372203 sequences. (Running on oeis4.)