# It Isn't As Hard As It Looks

Number Theory Level 3

The sequence $$a_0,a_1,a_2,\dots$$ satisfies $a_{m+n} + a_{m-n} = \frac{1}{2}(a_{2m}+a_{2n})$

for all non-negative integers with $$m\geq n$$. If $$a_1 = 1$$, determine the value of $a_{1995}$

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