#ATTENDANCE QUIZ FOR LECTURE 7 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p7
#with an attachment called
#p7FirstLast.txt
#(e.g. p7DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Sept. 28, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE: 4

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

-----------------
Question 1: 
Let K be the 3-digit number consisting of my 3rd, 4th, 5th, RUID digits. What is g(K)?

3rd, 4th, 5th digits = 600.
We can write represent g(n) as [[1,0,1,1],[1,1,0,1]].
g(600) = 79910120562991407400855037269648455626959263786477851492702924332928417391045244352241316094168328827198660591058442759059601

-----------------
Question 2:
IS (g(n)) in the OEIS? If yes, what is the A-number? If not, should it be?

(g(n)) is not in the OEIS. I'm not sure that the sequence necessarily should be in the OEIS, it is a rather specific sequence and I'm not sure how much mathematical use it would be.


------------------
Question 3:
For i = 3,4,5,...
Compute
SeqRec([[1$i],[0$(i-1),1]],30);
Find whether these sequences are in the oeis
Find their A-numbers
What is the smallest i for which this sequence is not in the OEIS?
Should it be?

i = 3: A73
i = 4: A78
i = 5: A1591
i = 6: A1592
i = 7: A122189
i = 8: A79262
i = 9: A104144
i =10: A122265
i =11: A168082
i =12: A168083
i =13: A168084

The smallest i for which this sequence is not in the OEIS is i = 14. It becomes unclear if a sequence of terms where each term is the sum of the previous 14 terms has much utility so I'm not sure if there's much of a point putting it in the OEIS.

-------------------
Question 4:
Let a:=2nd digit of my RUID
Let b:=7th digit of my RUID

What is the 100th term of GFseq(1/(1-x^a-x^b))?

a = 8, b = 4
The 100th term of the sequence is 0.