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Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
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... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!] ... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]
coc2 + c1c3+......cn-2cncan be written ascocn-2 + c1cn-3+......cn-2c0which is coeff of xn-2 in (1+x)n(1+x)nthat is coeff of xn-2 in (1+x)2n= 2nCn-2
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