#ATTENDANCE QUIZ FOR LECTURE 14 of Dr. Z.'s Math454(02) Rutgers University


# Please Edit this .txt page with Answers


#Email  ShaloshBEkhad@gmail.com 
#Subject: p14
#with an attachment called
#p14FirstLast.txt
#(e.g. p14DoronZeilberger.txt)


#Right after finishing watching the lecture but no later than Oct. 24, 2020, 8:00pm




THE NUMBER OF ATTENDANCE QUESTIONS WERE:


PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH, BY THE ANSWER
1. Where and when was Herbert S. Wilf born?
A: June 13, 1931 in Philadelphia 


2. What is the probability that if you take a random lattice walk from [0,0] to [n,m] you will stay in the region x==>y ? 
A: 
Paths(74, 77) 
LDie(%) 


3. What is a wilf-zeilberger pair? 
A: A pair of functions that can be utilized to prove certain combinatorial identities. 


4. What nationality was Catalan? What is the constant named after him? 
A: French and Belgian - Catalan’s constant (G) is derived from the  Dirichlet beta function


5. Do the same for [1, 1, -1, -1, 1] and get a set of 10 such lists that is the whole of Paths(3,2). 
A: Paths(3,2) 


6. Prove that there exists a location on the circular track such that if you start there you don’t run out of gas. 
A: