... again? In[ 9]:=GosperSum[%, {n, 0, n}]Yes indeed!Out[9]=(1 + 2n)(3 + 2n) Binomial[2n, n]34ˆnLet’s try this again: In[ 10]:=GosperSum[%, {n, 0, n}]Out[10]=(1 + 2n)(3 + 2n)(5 + 2n) Binomial[2n, ... us. In[ 12]:=f[n, s ]:=Binomial[2n + 2s, 2s] Binomial[2n, n]/Binomial[n + s, s]/4ˆnFirst let’s quickly check the base case: In[ 13]:=f[n, 0]Out[13]=Binomial[2n, n]4ˆnAnd now for the induction ... given on page 199.Read in Zb, and typeZb[(-1)^k Binomial(x-k+1,k) Binomial(x-2k,n-k),k,n,1] in which the final “1” means that you are looking for a recurrence of order 1. In this case the program...