Given:
$$F(F(n)) = n$$
$$F(F(n + 2) + 2) = n$$
$$F(0) = 1$$
where n is a non-negative integer. $$F(129) = ?$$
How can we solve such kind of functional equations? Is there any simpler approach other than doing iteration over the values manually?
Given:
$$F(F(n)) = n$$
$$F(F(n + 2) + 2) = n$$
$$F(0) = 1$$
where n is a non-negative integer. $$F(129) = ?$$
How can we solve such kind of functional equations? Is there any simpler approach other than doing iteration over the values manually?