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sum gamma(a+1)*(2*k)!*b^k/(gamma(2*k)*gamma(a-2*k+2)*2*k*k!^2) from k=1 to N
sum gamma(a+1)*(2*k)!*b^k/(gamma(2*k)*gamma(a-2*k+2)*2*k*k!^2) from k=1 to N
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