Problem

Source: MOP 2005 Homework - Black Group #3

Tags: function, induction, algebra solved, algebra



Find all functions f:NN such that (a) f(1)=1 (b) f(n+2)+(n2+4n+3)f(n)=(2n+5)f(n+1) for all nN. (c) f(n) divides f(m) if m>n.