

A268604


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


2



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
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OFFSET

1,1


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.


LINKS

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


EXAMPLE

4.559014113909555283987126503927272012380640693323861911667731922...


MATHEMATICA

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


PROG

(PARI) a=6/sqrt(sqrt(3))


CROSSREFS

Cf. A011002, A019707.
Sequence in context: A070783 A198334 A055593 * A246823 A088245 A154857
Adjacent sequences: A268601 A268602 A268603 * A268605 A268606 A268607


KEYWORD

nonn,cons


AUTHOR

Stanislav Sykora, Feb 08 2016


STATUS

approved



