#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

Q1. 
	(i). [25:26] is this in the OEIS? (Including the 3 at the beginning)
	(ii). Without the beginning 3, what is the A number? 
	(iii). Is the King Tours mentioned in the OEIS in OUR meaning? 
A1. 
	(i). Yes, A198633
	(ii). A79
	(iii). No it is not in the OEIS

Q2. 
	(i). [52:00] How many members of Cn(n) are there with an EVEN number of 1's? 
	(ii). How many are there with a number of 1's that is divisible by 4? 

A2. 
	(i). For every even integer i from 1 to n, 
			result += nCi 	[nCi means n choose i combination]
	(ii). 
		For every integer divisible by 4 from 1 to n
			result += nCi   [nCi same as above] 

Q3. 
	(i). [55:22] List of the neighbors of [1, 1, 1, 1, 1] in Bn(5)
	(ii). How many neighbors does [1, 1, 1, 1, ..., 1] (1 repeated 10^100 times) in Bn(10^100) have? 

A3. 
	(i). 
		it has 5 neighbors
	(ii). 
		it has 10^100 neighbors

Q4. 
	Is this sequence in the OEIS? [1:08:00]
A4. 
	Yes. A318109

Q5. 
	What is the A number for this sequence? 
	(i). is it the main reason why it's there? 
	(ii). is the fact that this is the diagonal sequence of 1/(1-x-y-z+4*x*y*z)
A5. 
	Yes it is on the OEIS with A-number A172. Diagonal sequence is not the main raeson, but in the comment it did mentioned it is also the diagonal sequence of the proposed formula