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Prove that (n-1)^(2) C(1) + (n-3)^(2) C...

Prove that ` (n-1)^(2) C_(1) + (n-3)^(2) C_(3) + (n-5)^(2) C_(5)` .
` + ….= n (n+1)2^(n-3) ` , where ` C_(r)` stands for ` ""^(n)C_(r)` .

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