Yes,  every tuple corresponds to a tuple (x, y) which is a solution to the given equation. These are the basic solutions that provides a base to calculate three classes of solutions for this equation. Others can be calculated as below. (Extracted from: http://www.jpr2718.org/pell.pdf, Page 14)

>To summarize, given any solution in a class, all solutions in that class
>are found by applying solutions to the equation x**2 - D*y**2 = 1. If r, s is
>any particular solution to x**2 − D*y**2 = N , x, y is any other solution to the
>same equation in the same class as r, s, and if t, u is the minimal positive
>solution to the equation x**2 - D*y**2 = 1, then for some choice of sign +/-
>and for some integer n, x + sqrt(D)*y = +/- (r + sqrt(D)*s)(t + sqrt(D)*u)**n