n = 10
nt = 10

list1 = [0.0] * n
list2 = [0.0] * n

list1[1] = 5.0
list2[1] = 5.0

c = 1.0
c2 = 0.25

print "0 =>",
print list1

for t in range(1, nt+1):
        list = [0.0] * n

        for x in range(0, n):
                right = x + 1
                left = x - 1

                if right >= n:
                        vright = 0.0
                else:
                        vright = list1[right]

                if left < 0:
                        vleft = 0.0
                else:
                        vleft = list1[left]

                list[x] = c2 * (vright + vleft - (2*list1[x])) - list2[x] + (2 * list1[x])

        print "%d =>" % t,
        print list

        list2 = list1
        list1 = list

print list