Find all real valued functions G(x) on integers is such that:

(i) G(1) = 5/2, and:
(ii) G(0) is not zero, and:
(iii) G(A)*G(B) = G(A+B)+G(A-B), for all A and B

(In reply to Determined Function (spoiler) by Steve Herman)

Looks like xdog beat me to the punch, by 19 seconds!  Nice work, dog

Posted by Steve Herman on 2015-05-02 11:21:12