%I #5 Sep 16 2017 05:39:42

%S 1,4,9,3,8,3,14,81,3,10,5,74,3,3,159,2,2,2,2,2,5,98,2,2,2,87,5,12,6,

%T 95,3,8,5,3,5,13,2,8,2,5,11,4,2,2,3,4,2,10,20,1,2,7,4,2,4,4,3,1,2,13,

%U 2,4,14,6,10,25,2,3,2,46,3,2,4,5,3,1,2,82,3,14

%N Continued fraction of sqrt(2) with numerators equal to sqrt(3).

%C Greene and Schmieg ask if this sequence is periodic.

%H John Greene and Jesse Schmieg, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL20/Greene/greene3.html">Continued Fractions with Non-Integer Numerators</a>, Journal of Integer Sequences, Vol. 20 (2017), Article 17.1.2. See (17) p. 10.

%o (PARI) lista(nn) = {my(x = sqrt(2)); for (n=1, nn, print1(a = floor(x), ", "); x = sqrt(3)/(x - a););}

%Y Cf. A002193, A002194.

%K nonn,cofr

%O 0,2

%A _Michel Marcus_, Sep 14 2017