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

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

Offset: 1

Author

Stanislav Sykora, Feb 08 2016

Keywords

• nonn
• cons

Comments

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.

Examples

			4.559014113909555283987126503927272012380640693323861911667731922...
		

Links

• Stanislav Sykora, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A011002, A019707.

Programs

Mathematica

RealDigits[6/Sqrt[Sqrt[3]], 10, 100][[1]] (* Bruno Berselli, Feb 09 2016 *)

PARI

a=6/sqrt(sqrt(3))