Find all functions f:N→N such that (a) f(1)=1 (b) f(n+2)+(n2+4n+3)f(n)=(2n+5)f(n+1) for all n∈N. (c) f(n) divides f(m) if m>n.
Problem
Source: MOP 2005 Homework - Black Group #3
Tags: function, induction, algebra solved, algebra
Source: MOP 2005 Homework - Black Group #3
Tags: function, induction, algebra solved, algebra
Find all functions f:N→N such that (a) f(1)=1 (b) f(n+2)+(n2+4n+3)f(n)=(2n+5)f(n+1) for all n∈N. (c) f(n) divides f(m) if m>n.