%I #8 Sep 01 2014 09:04:54
%S 3,0,5,8,9,5,9,3,6,6,9,9,2,8,2,0,4,5,4,0,7,0,0,1,9,2,0,2,9,0,8,5,3,2,
%T 4,0,6,5,3,0,5,0,5,7,5,2,5,1,9,5,6,6,7,8,1,0,9,7,3,3,0,8,8,1,3,8,8,0,
%U 0,6,0,8,5,7,5,6,5,5,6,7,6,4,1,3,3,3,5,6,2,4,7,1,7,5,2,1,0,8,6,1,9,5,7,8,3,3,0,9,9,1,5,4,1,6,2,9,3,8,5,4,4,6,5,4,4,7,6,0,1,9
%N Decimal expansion of length/width of a 2nd electrum rectangle.
%C See A188619 for the definition of 2nd electrum rectangle. Briefly, it is a rectangle such that the removal of a silver rectangle from one end leaves a golden rectangle.
%H Clark Kimberling, <a href="http://www.jstor.org/stable/27963362">A Visual Euclidean Algorithm</a>, The Mathematics Teacher 76 (1983) 108-109.
%t t=1+3^(1/2); r=(t+(t^2+4)^(1/2))/2
%t FullSimplify[r]
%t N[r, 130]
%Y Cf. A188619, A188618, A188638.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Apr 06 2011
|