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On careful observation , one can see that the sum of any row is just $3^n$ this is the sum for the series . This can even be computed using a series as shown below

1=a0
1 1 1
a1 a0 a2


now a(mid) of the next line becomes the a(0) +a(1) +a(2) that it this mid element is always the sum of the middle three elements