Looping problem Elden ring runes per level calculation

Question

This code is currently showing the total amount needed to reach the next level, but what I would like it to do is show the complete total amount so for example if you pick 50 the total amount needed from level 1 to 50. Looping through the calculation from 50 to 1 and only showing the sum of that total. and hereby I mean only showing the total amount of runes needed to reach level 50 for example, but I seem to get the entire list for each level. I, unfortunately, can't seem to find the right way to do this online, so I would try my luck here. any help is appreciated.

def total_runes_per_lvl(lvl):
    list = []
    for i in range(lvl):
        runes = 0.02*(lvl)**3 + 3.06*(lvl)**2 + 105.6*(lvl) - 895
        list.append(runes)
        lvl -= 1
        
        print(sum(list))
    
total_runes_per_lvl(50)

15102.68
14535.0
28514.440000000002
41950.32
54854.520000000004
67238.8
etc`

should only be one number: 277.571

Answer 1

Your identation is incorrect, and you're decrementing lvl even though there's already an iterator on it.

def total_runes_per_lvl(lvl):
    total = 9381
    for i in range(13,lvl+1):
        runes = 0.02*(i+1)**3 + 3.06*(i+1)**2 + 105.6*(i+1) - 895
        total += int(runes)
        
    print(total)
total_runes_per_lvl(16) # 15605
total_runes_per_lvl(50) # 277574

Edit: since the formula works accurately after level 12, I've hardcoded the value for the total of first 12 levels. The formula works as expected, though it still isn't accurate.