>>430

a_{n+2} = p・a_{n+1} + q・a_n,
より
|a_{n+2}|^2 = a_{n+2}・a_{n+2}~
= (p・a_{n+1} + q・a_n) (p・a_{n+1}~ + q・a_n~)
= pp|a_{n+1}|^2 + pq・Re(a_{n+1}・a_n~) + qq|a_n|^2,

(1) pp + qq = 1,pq = 0,
  (p,q) = (0,±1) (±1,0)