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If for any +ve integer n Deltan=[[2r-1, ...

If for any +ve integer n `Delta_n=[[2r-1, ^nC_r,1] ,[n^2-1,2^n,n+1], [cos^2(n^2) ,cos^2(n) ,cos^2(n+1)]]` then `sum_(r=0)^nDelta_r, n in N`, is equal to

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