#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 (including the 3 at the beginning)? What is the A number if it is?
Yes, this is in the OEIS. The A number is A198633

ii. Without the beginning 3 it is, what is the A number?
The A number is A000079, which describes the powers of 2.

iii. Is the King Tours mentioned in the OEIS in our meaning?
No.

2.
i. How many members of Cn(n) are there with an even number 1's?
There are n-1 members of Cn(n) where there is an even number of 1's

ii. How many are there with a number of 1's that is divisible by 4?
Don't know

3.
i. List all the neighbors of [1,1,1,1,1] in Bn(5)
[0,1,1,1,1],[1,0,1,1,1],[1,1,0,1,1],[1,1,1,0,1],[1,1,1,1,0]

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

4. Is this sequence in the OEIS?
Sequence: [4,46,652,10186,168304,2884456,50723824,909192538,16538659384,304391739796]
Yes, this sequence is in the OEIS. Its A number is A318109.

5. What is the A number of this sequence?
Is that the main reason why it is there?
Is the fact that it is the diagonal sequence of 1/(1-x-y-z+4*x*y*z) mentioned there?

Sequence: [2,10,56,346,2252,15184,104960,739162,5280932,38165260]
A number: A000172

The main reason why it is there is to describe the Franel numbers.
The fact that it is the diagonal sequence of 1/(1-x-y-z+4*x*y*z) is mentioned there.