#ATTENDANCE QUIZ FOR LECTURE 17 of Dr. Z.'s Math454(02) Rutgers University


# Please Edit this .txt page with Answers


#Email  ShaloshBEkhad@gmail.com 
#Subject: p17
#with an attachment called
#p17FirstLast.txt
#(e.g. p17DoronZeilberger.txt)


#Right after finishing watching the lecture but no later than Nov. 3, 2020, 8:00pm




THE NUMBER OF ATTENDANCE QUESTIONS WERE:


PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH, BY THE ANSWER


1. (i) Is this in the OEIS? What is the A number? - A198633
(ii) Without the beginning 3 what is the A number? - A000079
(iii) Is Kings Tours mentioned in the OEIS? - yes, the total of closed walks on the graph with 3 vertices and 2 edges 


2. (i) How many members of Cn(n) are there with an even number of 1s? - n-1
(ii) How many with an even number of 1s divisible by 4? - n-1 


3. (i) List the neigbors of [1,1,1,1,1] in Bn(5) 


….., [1, 1, 1, 0, 1], [1, 1, 1, 1, 0]


(ii) How many neighbors does [1,1,1,1…..,1] (1 repeated 1^100 times) in Bn(10^1000) have? 


1 neighbor 


4. Is this sequence in the OEIS? 


Yes - A318109


5. What is the A number of this sequence? Is that the main reason why it is there? Is it fact that it is the diagonal sequence of 1 / (1-x-y-z+4*x*y*z) mentioned there? 
A000172
These are the r-th order Franel numbers (derived from a generalized hypergeometric sequence) 
Yes, it is the diagonal of the rational function 1 / (1-x-y-z+4*x*y*z)