Pythagorean Triples in Disguise?

There are nn nonnegative integral solutions to the equation

(x2y2)2=16y+1(x^2-y^2)^2=16y+1

obviously all in the form (x1,y1),(x2,y2),,(xn,yn)(x_1, y_1), (x_2, y_2),\dots,(x_n, y_n). Compute

a=1nxa+ya\sum_{a=1}^{n}x_a+y_a

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