I was asked where

f(n,k)=(binomial(2*n + 2, n + 1) / 2 - binomial(2*n, n) - sum(binomial(n, k) * 
binomial(n, k-1), k,1,n))
f.full_simplify()

got magic constant sqrt(pi). Right answer is zero.

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Jori Mäntysalo

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