A256965 Decimal expansion of sqrt(2) + sqrt(3/2).

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

Offset: 1

Author

N. J. A. Sloane, Apr 16 2015

Keywords

• nonn
• cons

Comments

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

Examples

			2.6389584337646840979003307615626437745526456157052831373930...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.11, p. 517.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000
• 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.

Crossrefs

Cf. A090388.

Programs

Magma

SetDefaultRealField(RealField(100)); Sqrt(2) + Sqrt(3/2); // G. C. Greubel, Aug 19 2018

Mathematica

RealDigits[Sqrt[2] + Sqrt[3/2], 10, 110][[1]] (* Vincenzo Librandi, Aug 21 2016 *)

PARI

sqrt(2)+sqrt(3/2) \\ Michel Marcus, Dec 20 2015