task.py

a00 = -165
a10 = -10
a11 = 3

def calc(n, x, a0 , a1, a2):
    a1 = a2 * x + a1
    print a1
    for i in range(2, n + 1):
        ai = i*i/(i-1)*x*a1 - 4*a0*x*x
        a0 = a1
        a1 = ai
    return ai

tn = []
tn1 = []
tn2 = []

for i in range(0, 40):
    tn.append([0, 0, 0])
    tn1.append([0, 0, 0])
    tn2.append([0, 0, 0])

tn[0][0] = -165
tn[1][0] = -10
tn[1][1] = 3

tn1[2] = tn[1]
tn2[2] = tn[0]

n = input("insert n: ")
x = input("insert x: ")

print calc(n, x, a00, a10, a11)

for i in range(2, n + 1):
    tn[i][0] = i * i / (i - 1) * tn1[i][0]
    tn[i][1] = i * i / (i - 1) * tn1[i][1] - 4 * tn2[i][0]
    tn[i][2] = -4 * tn2[i][1]

    tn2[i + 1] = tn1[i]
    tn1[i + 1] = tn[i]

print "tn\t", tn
print "tn1\t", tn1
print "tn2\t", tn2

res = 0
for i in range(0, n + 1):
    res *= x
    res = tn[i][0] +  x*tn[i][1] + x*x*tn[i][2]

print res