%I #36 Sep 08 2022 08:46:12

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

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

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

%N Decimal expansion of sqrt(2) + sqrt(3/2).

%C Conjectured minimal length of fence ensuring privacy of a square garden.

%H Vincenzo Librandi, <a href="/A256965/b256965.txt">Table of n, a(n) for n = 1..5000</a>

%H Bernd Kawohl, <a href="http://dx.doi.org/10.1007/978-3-0348-8942-1_27">The opaque square and the opaque circle</a>, in: General Inequalities VII, Int. Ser. Numer. Math. 123 (1997), pp. 339-346.

%H Bernd Kawohl, <a href="http://www.mi.uni-koeln.de/mi/Forschung/Kawohl/kawohl/springercime.ps">Some nonconvex shape optimization problems</a>, in: Optimal Shape Design, Eds. A.Cellina u. A. Ornelas, Springer Lecture Notes in Math.1740 (2000), pp. 7-46.

%H Ian Stewart, <a href="http://www.mi.uni-koeln.de/mi/Forschung/Kawohl/various/Bilder/PolygonalPrivacy.pdf">Pursuing Polygonal Privacy</a>, Mathematical Recreations Column, Scientific American, 284 (No. 2, 2001), 88-89.

%e 2.6389584337646840979003307615626437745526456157052831373930...

%t RealDigits[Sqrt[2] + Sqrt[3/2], 10, 110][[1]] (* _Vincenzo Librandi_, Aug 21 2016 *)

%o (PARI) sqrt(2)+sqrt(3/2) \\ _Michel Marcus_, Dec 20 2015

%o (Magma) SetDefaultRealField(RealField(100)); Sqrt(2) + Sqrt(3/2); // _G. C. Greubel_, Aug 19 2018

%Y Cf. A090388.

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_, Apr 16 2015