# 1, 3, 1+3, 13, what's next?

Level pending

Let a and b be two constants such that ax + by = 1, a$$x^2$$+ b$$y^2$$ =3, a$$x^3$$ + b$$y^3$$ = 4, a$$x^4$$ + b$$y^4$$ = 13 and a$$x^5$$ + b$$y^5$$ = m/n where m and n are coprime positive integers. What is m+n?

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