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C-0-2n-C-n-C-1-2n-2-C-n-C-2-2n-4-C-n-equals-to-




Question Number 22435 by Tinkutara last updated on 18/Oct/17
C_0 ^(2n) C_n −C_1 ^(2n−2) C_n +C_2 ^(2n−4) C_n  ....  equals to
$${C}_{\mathrm{0}} \:^{\mathrm{2}{n}} {C}_{{n}} −{C}_{\mathrm{1}} \:^{\mathrm{2}{n}−\mathrm{2}} {C}_{{n}} +{C}_{\mathrm{2}} \:^{\mathrm{2}{n}−\mathrm{4}} {C}_{{n}} \:…. \\ $$$$\mathrm{equals}\:\mathrm{to} \\ $$

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