Let N = { 0, 1, 2, 3, ... } and suppose F: N --> Z⁺ is defined by: F(0) = 0 ; F(1) = 1 ;F(n) = 18F(n – 1) – 65F(n – 2), for all n = 2, 3, 4, ...                 What is F(1000)?                                                                                             Provide a mathematically correct/complete justification for your answer.

Answers : alpha |bugzpodder|kstahmer