It Isn't As Hard As It Looks

The sequence a0,a1,a2,a_0,a_1,a_2,\dots satisfies am+n+amn=12(a2m+a2n)a_{m+n} + a_{m-n} = \frac{1}{2}(a_{2m}+a_{2n})

for all non-negative integers with mnm\geq n. If a1=1a_1 = 1, determine the value of a1995a_{1995}

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