%I
%S 1,1,1,3,9,3,27,1,3,9,747,627,153,36321,1,121,699,537,2900979,43,
%T 5843427,803,1,59,13809,3,12507,541137,11,563210019,57,28906107,55617,
%U 3,499,212279001,11516632737,6633,41281449,33,48957047673,6284900361,369485787,3777
%N Fundamental positive solution y(n) of the Diophantine equation x^2  A045339(n)*y^2 = 2, for n >= 1.
%C The corresponding x = x(n) values are given in A339881.
%C The conjecture is that all A045339 entries have solutions.
%C For details and examples [x(n), y(n)] see also A339881.
%F Generalized Pell equation. Fundamental solution a(n), with A339881(n)^2  A045339(n)*a(n)^2 = 2, for n >= 1.
%Y Cf. A007520, A045339, A339881.
%K nonn
%O 1,4
%A _Wolfdieter Lang_, Dec 22 2020
