For34. An integer \(N(>1)\) is given. The sequence of real numbers \(A_K\) is defined as follows:
\(A_1 = 1, A_2 = 2, A_K = (A_{K-2} + 2 \cdot A_{K-1})/3, \quad K = 3, 4, ...\) .
Output the elements \(A_1, A_2, ... , A_N\).

Solution in Python 3:

for N in range(2,33,10):
    print("N = ",N)
    A1 = 1
    A2 = 2
    print(1," : ",A1)
    print(2," : ",A2)
    for k in range(3,N+1):
        A3 = (A2 + 2*A1)/3
        print(k," : ",A3)
        A1 = A2
        A2 = A3
    print()