Trinomial triangle

Python 3.7 program that includes the following functionality:

prints trinomial triangle for given LENGTH (height of the triangle)
(see more https://en.wikipedia.org/wiki/Trinomial_triangle)

please notice, that the asymptotic notation is more than O(LENGTH²), because it is based on the function below

for given LENGTH and TOTAL values returns the list of LENGTH long lists, consisting only of -1, 0 and 1 numbers, which sum is TOTAL

thus the number of all possible variations is a number in the Trinomial triangle
where you can imagine TOTAL horizontal axis (-3, -2, -1, 0, 1, 2, 3) for TOTAL = 3
and LENGTH vertical axis (1, 2, 3, 4, 5) for LENGTH = 5

Use it just by running a program, then you will be able to choose a needed function

Example of trinomial triangle with LENGTH = 5

Number of ways to reach a cell with the minimum number of moves