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

1,1

Comments

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

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.

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

Adjacent sequences: A256962 A256963 A256964 * A256966 A256967 A256968

Keyword

nonn,cons

Author

N. J. A. Sloane, Apr 16 2015

Status

approved