let-a-b-integer-and-C-a-2-b-2-Prove-that-there-exist-a-n-and-b-n-all-integers-such-as-C-n-a-n-2-b-n-2-explicit-a-5-and-b-5-interm-of-a-and-b-

Question Number 90730 by ~blr237~ last updated on 25/Apr/20

l e t a, b i n t e g e r a n d C = a^{2} + b^{2}

P r o v e t h a t t h e r e e x i s t a_{n} a n d b_{n} a l l

i n t e g e r s s u c h a s C^{n} = a_{n}^{2} + b_{n}^{2}

e x p l i c i t a_{5} a n d b_{5} i n t e r m o f a a n d b