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%I #11 Oct 12 2017 10:52:50
%S -2,1,1,3,1,86,63,1006,2,1,3,3,2,3,1,1,2,4,2,7,1,1,1,1,4,2,2,1,8,1,9,
%T 1,1,50,1,3,1,16,2,1,76,1,3,3,1,3,2,1,7,2,1,46,2,1,5,4,1,1,2,1,1,11,1,
%U 1,1,2,2,2,2,13,4,1,7,2,1,1,2,1,1,4,3,1,1,3,5,7,21,5,2,1,3,1,5,1,8,9,4,3,1
%N Continued fraction expansion of the smallest real root of x^7-7x+3.
%H David G. Cantor, Paul H. Galyean and Horst G. Zimmer, <a href="http://dx.doi.org/10.1090/S0025-5718-1972-0330118-4">A continued fraction algorithm for real algebraic numbers</a>. Math. Comp. 26 (1972), 785-791.
%e -1.4443022027143747.. = -2+1/(1+1/(1+1/(3+1/(1+1/(86+...))))).
%p Digits := 150 ;
%p x := -1.44;
%p for i from 1 to 10 do x := evalf(x-(x^7-7*x+3)/(7*x^6-7)); numtheory[cfrac](x+2,80,'quotients') ; end do; # _R. J. Mathar_, Jun 27 2011
%Y Cf. A192182, A192183.
%K sign,cofr
%O 0,1
%A _N. J. A. Sloane_, Jun 25 2011