%I
%S 4,4,2,4,9,3,3,3,4,0,2,4,4,4,2,1,0,3,3,2,8,1,6,5,0,1,0,6,6,4,6,9,3,3,
%T 0,3,2,7,3,7,4,7,2,8,7,7,3,2,7,8,1,6,7,6,5,7,5,4,3,6,8,8,3,2,2,3,3,0,
%U 5,6,0,9,7,0,3,4,1,9,8,9,6,5,1,4,7,1,5,8,8,3,6,0,8,6,5,5,2,8,7,6,2
%N Decimal expansion of the real root of s^3  s^2 + s  1/3 = 0.
%C In the origami solution of doubling the cube (see the W. Lang link, p. 14, and a Sep 02 2014 comment on A002580) (1s)/s = 2^{1/3}, or s^3  s^2 + s  1/3 = 0 appears, which has the real solution s = (2^(2/3)  2^(1/3) +1)/3. In the link s is the length of the line segment(B,C') shown in Figure 16 on p. 14.
%C A cubic number with denominator 3.  _Charles R Greathouse IV_, Aug 26 2017
%H W. Lang, <a href="/A246644/a246644.pdf">Notes on Some Geometric and Algebraic Problems solved by Origami</a>
%F s = 0.442493334024442103328... See the comment above.
%o (PARI) polrootsreal(3*x^33*x^2+3*x1)[1] \\ _Charles R Greathouse IV_, Aug 26 2017
%Y Cf. A002580.
%K nonn,cons
%O 1,1
%A _Wolfdieter Lang_, Sep 02 2014
