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h(h(n))+h(n+1)=n+2 \large h(h(n))+h(n+1)=n+2h(h(n))+h(n+1)=n+2
Consider all functions h:N→Nh:\mathbb N \to \mathbb Nh:N→N satisfying the functional equation above for all natural numbers nnn.
Find the value of h(2014)h(2014)h(2014).
Hint: Try to find some initial values and then somehow try to bring the Golden Ratio into use. Golden Ratio is 1+52\frac{1+\sqrt{5}}{2}21+5.
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