Software to calculate an integer sum?

Question

There is a result I want to calculate, but I don't know if there is any software that can help me with this. Anyone knows what could I use to help me? Any answer is much appreciated

The formula is this: $$\sum_{k=0}^{37}(-1)^{k-14}\binom{k}{14}\binom{37}{k}(37-k)^{37}$$

Any program/software that I can download or use online for this? I'm pretty sure it's more than hard to calculate it without software help.

Answer 1

In Maxima: sum((-1)^(k-14) * binomial(k,14) * binomial(37,k) * (37-k)^37,k,0,37); 2102461537664289404445654948320063396409217803878400000000

Answer 2

You could use basically any programming language to do the calculations. I'd try python.