#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

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

My RUID: 193006310
K=300
g(K) = 260194044049834225683007377795695452872753716404860292351549801

2. Is {g(n)} in the OEIS? If yes, what is the A number? If not, should it be?

Yes, {g(n)} is in the OEIS. The A number is A006498.

3. For i = 3,4,5... compute SeqRec([[1$i],[0$(i-1),1]],30).
Compute 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 sequence is A000073
i=4 sequence is A000078
i=5 sequence is A001591
i=6 sequence is A001592
i=7 sequence is A122189
i=8 sequence is A079252
i=9 sequence is A104144
i=10 sequence is A122265
i=11 sequence is A168082
i=12 sequence is A168083
i=13 sequence is A168084

The smallest i for which this sequence is not in the OEIS is 14.
I think it should be in the OEIS though, since it an integer sequence, but an argument can be made that the sequence is not interesting enough.

4.
Let a:= 2nd digit of your RUID(if it is 0 make it 1), b:=7th digit
What is the 100th term of GFseq(1/(1-x^a-x^b))?

My RUID: 193006310
a:=9, b:=3

The 100th term of GFseq(1/(1-x^9-x^3)) is 0.