#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

Question 1:
i)Is 3, 4, 8, 16, 32, 64, ... in the OEIS? What is the A number?
A198633		Total number of round trips, each of length 2*n on the graph P_3 (o-o-o)

ii) Without 3 what is the A number?
A000079		Powers of 2: a(n) = 2^n.

iii) Is the kings tours mentioned in the OEIS in our meaning
No it is not

Question 2:
i)How many members of Cn(n) are there with even number of 1's?
2^n-1

ii) How many are there with a number of 1's that is divisible by 4

Question 3:
i)List the neighbours of [1, 1, 1, 1, 1] in Bn(5)

Answer: {16, 24, 28, 30, 31}

ii) How many neighbours does [1, 1, 1, 1..., 1]in Bn(10^1000) have

Answer Cn crashes when we try to run Bn(10^1000)

Question 4:Is this sequence in the OEIS

Answer: Yes it is A318109		a(n) = Sum_{k=0..n} (3*n-2*k)!/((n-k)!^3*k!)*(-2)^k

Question 5 
What is the A number of this sequence 
A000172		Franel number a(n) = Sum_{k = 0..n} binomial(n,k)^3.
No it is not