def binomcoeff(n,k): nom = 1 denum = 1 for i in range(n-k): nom *= (n-i) denum *= (i+1) v = nom//denum return v def E(n,k): return binomcoeff(2*n+k,n)*binomcoeff(n+k,n)//2 print(E(1,2), E(2,1), E(2,2), E(3,1))