# OK to post homework
# RDB, 2022-04-02, HW19

read "C18.txt":
read "C19.txt":

# 1.

UmbT := proc(P, var, N)
    [seq(Umb(P^k, var), k=0..N-1)]:
end:

# ii.
#   a. A984 (central binomial coefficients)
#   b. A2893 (Apery-like binomial coefficient sum)
#   c. A2895 (Domb numbers [but really a binomial coefficient sum])
#   d. Doesn't exist!
#   e. Doesn't exist!

# In general, UmbT(x1 + x2 + ... xn) will be a multivariable binomial
# coefficient sum. I traced out a and b, but haven't simplified c-e yet.