Euler #65

multiplier, numerators = 2, [2, 3]

for a in range(2, 100):
    if (a+1) % 3 == 0:
        numerators.append(numerators[-2] + multiplier*numerators[-1])
        multiplier += 2
    else:
        numerators.append(numerators[-2] + numerators[-1])

total = 0
for b in str(numerators[-1]):
    total += int(b)
print(total)