read `ParkingStatistics.txt`:


K:=20:

gu:= LimScMoment():

print(`Explicit (Efficient!) Exact Expressions for the Limits of the Scaled moments of the random variable`):
print(` Sum of Parking Functions up to the`, K, `-th moment`):
print(``):

print(`Definition: A (simple) parking function of length n is a permutation of a weakly increasing sequence of positive integers`):
print(seq(x[i],i=1..n)):
print(`such that for all i `):
print(` x[i]<=i `):
print(``):
print(`For any parking function, p, let X[p] be its sum of entries`):
print(``):
print(`In this article we will present  the limits of the scaled moments from the 3-rd through the`, K, `-th. `):
print(``):
for k from 3 to K do
print(``):
print(gu[k]):
print(``):
print(`and in Maple format`):
print(``):
lprint(gu[k]):
print(``):

print(`and in latex`):
print(``):
print(latex(gu[k])):
print(``):

od:


quit: