Random D20 number generator
Here's my take:

from random import randint
name = raw_input('Please Type in your name &gt; ')

print """
Hello {} &amp; welcome to the Random Number Generator by Ray Weiss.
""".format(name)
upper = int(raw_input('Enter the upper limit &gt; '))
n = int(raw_input("How many D{} you'd like to roll? ".format(upper)))

for _ in xrange(n):
    print randint(1, upper)
print """
Thank you {} for using the D{} RNG by Ray Weiss! Goodbye!
""".format(name, upper)


Changes as compared to your version:


directly import randint because it's the only function you use in random;
use the new string formatting method (str.format);
take the upper bound from user instead of hard-coding 20;
take the number of rolls from user instead of repeatedly asking if that's enough;
use a loop to make the repetition actually work. The self-repeating code asking the user if we should continue is now gone.