# Please do not post homework
# Ravali Bommanaboina, 9/27/2020, Assignment 6
#Question 1
#PIE is only of theoretical interest because it can be used to calculate the probability of something occurring.
#[seq(Pnx(n,x),n=1..7)] = [seq(PnxF(n,x),n=1..7)]
#the time it took to compute [seq(Pnx(n,x),n=1..8)] and  [seq(PnxF(n,x),n=1..8)] was the same
#after testing larger numbers I was able to determine the function PnxF is faster
#I am estimating this time([seq(Pnx(n,x),n=1..30)]); will be greater than 1 minute.

#Question 2
#For any polynomial P(x) the coefficient of x^0 is P(0) because the number of derangements is a constant number


#Question 3
#A257, A34

#Question 4
#A262