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A339882 Fundamental positive solution y(n) of the Diophantine equation x^2 - A045339(n)*y^2 = -2, for n >= 1. 3

%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

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Last modified April 14 07:59 EDT 2021. Contains 342946 sequences. (Running on oeis4.)