%I A093603
%S A093603 0,6,7,3,3,8,6,8,4,3,5,4,4,2,9,9,1,8,0,3,0,9,5,4,0,1,1,8,7,7,3,0,8,2,1,
%T A093603 6,6,7,7,2,1,6,7,7,0,1,8,2,7,0,0,3,9,7,3,0,9,9,8,0,1,6,6,1,3,7,3,7,9,7,
%U A093603 9,0,1,8,2,6,2,9,5,5,0,3,2,0,0,8,2,8,3,1,5,0,3,7,7,5,9,6,1,5,3,8,6,4,6
%N A093603 Decimal expansion of d/2, where d^2=pi/sqrt(3).
%C A093603 d/2=sqrt{pi/sqrt(3)}/2 gives the length of the smallest stroke halving
the unit-sided equilateral triangle. From A093602, it is plain that
d^2<2, i.e. (d/2)^2<1/2=square of the bisecting line segment parallel
to triangle's side. d/2 actually is the arc subtending angle pi/3
about center of circle with radius D/2, where D^2=3/d^2. Since pi/
3~1, d~D (See A093604).
%D A093603 P. Halmos, Problems for Mathematicians Young and Old, Math. Assoc. of
Amer. Washington DC 1991.
%D A093603 C. W. Triggs, Mathematical Quickies, Dover NY 1985.
%e A093603 sqrt{pi/sqrt(3)}/2=0,673386843544299180309540118773082166772167701827003973099801...
%Y A093603 Sequence in context: A160155 A153628 A154972 this_sequence A105739 A105831
A154339
%Y A093603 Adjacent sequences: A093600 A093601 A093602 this_sequence A093604 A093605
A093606
%K A093603 easy,nonn,cons
%O A093603 1,2
%A A093603 Lekraj Beedassy (blekraj(AT)yahoo.com), May 14 2004
|