#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

Q1:
Let K be the 3-digit number consisting of your 3rd, 4th, and 5th RUID digits.
What is g(K) ?

A1:
K = 900
G(n) = Set of words in alphabet {1,3,4} that add-up to n.
g(n) = |G(n)|
Based on the fact that, in lecture, G(2) was said to return {[]} and not
{[1,1]}, g(K) = 0.


Q2:
Is {g(n)} in the OEIS? If Yes, what is the A-Number? If not, should it be?

A2:
I don't think {g(n)} is in the OEIS, as it just symbolizes the Cardinality of
the set returned by G(n). Since it's not a sequence, I don't think it should be
included in the OEIS.

Q3:
For i = 3, 4, 5, ... compute SeqRec([1$i],[0$(i-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?

A3:
The smallest i for which this sequence is NOT found in the OEIS is i = 14.
I have no idea whether this should or shouldn't be included in the OEIS...
I'll say it shouldn't be, because I don't see the point. 
But then again, it should be for the same reason. 
I just don't have the slightest grasp of the importance of the OEIS, or of
integer sequences in general. 
I'm told they're important and useful, but I don't really know why...
Also, I'm too lazy to copy the A-Numbers of SeqRec for i from 1 to 13... They
are all just variations of Fibonacci sequences. 


Q4:
Let a := 2nd digit of RUID. If it is 0, make it a 1. 
Let b:= 7th digit of RUID. 
What is the 100th term of GFseq(1 / (1 - x^a - x^b))

A4:
a = 6, b = 1
37398034921