Python - Productoria

[1,

(X-X0),

(X-X0) * (X-X1),

(X-X0) * (X-X1) * (X-X2)

]

x = Symbol("x")

a[0] = 1

for i in range(n-1):

    a[i+1] = (x-b[i][0]) * a[i]

[1,

x - X0,

(x - X1) * (x - X0),

(x - X2) * (x - X1)*(x - X0)

]

X = [1, 2, 3]

S = (len(X)+1) * [1]

x = 4

for i in range(len(X)):

    S[i + 1] = (x - X[i]) * S[i]

result=[""]

for i in range(3):

    result.append("{}{}(X-X{})".format(result[-1], "" if result[-1]=="" else " * " , i))

result[0]=1

print(result)

[1, '(X-X0)', '(X-X0) * (X-X1)', '(X-X0) * (X-X1) * (X-X2)']