login
The x member of the positive proper fundamental solution (x = x1(n), y = y1(n)) of the first class for the Pell equation x^2 - D(n)*y^2 = +8 for odd D(n) = A263012(n).
6

%I #8 Nov 17 2015 19:13:48

%S 5,7,9,217,69,11,199,13,56445,15,6121,46557,17,9567711,127,73829571,

%T 19,101080863,21,35927573,1582431,379,23,729,167,32899,689581594497,

%U 25,1348157,207495429,1255,27,146613,278601383,29,21751,4777049027,33814353,19022653,5062449,31,43541,225

%N The x member of the positive proper fundamental solution (x = x1(n), y = y1(n)) of the first class for the Pell equation x^2 - D(n)*y^2 = +8 for odd D(n) = A263012(n).

%C The corresponding y = y1(n) member is given by A264350(n).

%C See A263012 for details and examples.

%F a(n)^2 - D(n)*y1(n)^2 = 8 with D(n) = A263012(n) and y1(n) = A264350(n), n >= 1.

%e n=1: 5^2 - 17*1^2 = 8. n=4: 217^2 - 89*23^2 = 8.

%Y Cf. A263011, A263012, A264350, A264351, A264353.

%K nonn

%O 1,1

%A _Wolfdieter Lang_, Nov 17 2015