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A256965 Decimal expansion of sqrt(2) + sqrt(3/2). 2
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Conjectured minimal length of fence ensuring privacy of a square garden.
LINKS
Bernd Kawohl, The opaque square and the opaque circle, in: General Inequalities VII, Int. Ser. Numer. Math. 123 (1997), pp. 339-346.
Bernd Kawohl, Some nonconvex shape optimization problems, in: Optimal Shape Design, Eds. A.Cellina u. A. Ornelas, Springer Lecture Notes in Math.1740 (2000), pp. 7-46.
Ian Stewart, Pursuing Polygonal Privacy, Mathematical Recreations Column, Scientific American, 284 (No. 2, 2001), 88-89.
EXAMPLE
2.6389584337646840979003307615626437745526456157052831373930...
MATHEMATICA
RealDigits[Sqrt[2] + Sqrt[3/2], 10, 110][[1]] (* Vincenzo Librandi, Aug 21 2016 *)
PROG
(PARI) sqrt(2)+sqrt(3/2) \\ Michel Marcus, Dec 20 2015
(Magma) SetDefaultRealField(RealField(100)); Sqrt(2) + Sqrt(3/2); // G. C. Greubel, Aug 19 2018
CROSSREFS
Cf. A090388.
Sequence in context: A021383 A296456 A256592 * A191708 A368038 A082154
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Apr 16 2015
STATUS
approved

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Last modified August 30 04:38 EDT 2024. Contains 375526 sequences. (Running on oeis4.)