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If D(r)=|{:(2r-1,""^(m)C(r),1),(m^(2)-1,...

If `D_(r)=|{:(2r-1,""^(m)C_(r),1),(m^(2)-1,2^(m),m+1),(sin^(2)(m^(2)),sin^(2)(m),sin^(2)(m+1)):}|` then find `sum_(r=0)^(m)D_(r)`.

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