#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



#ATTENDANCE Q. #1 for LECTURE 7
#Let K be the 3-digit number consisting of your 3rd, 4th, and 5th RUID digit  19(200)2142
#What is g(K)?

#ANSWER to Q. #1:	g(200) = 328498451097686799925900568301054106978201




#ATTENDANCE Q. #2 for LECTURE 7
#is {g(n)} in the OEIS? if YES what is the A number? if not, should it be?

#ANSWER to Q. #2:	the sequence g(n), n=1,2,3... is in the OEIS with A number A006498
#			"a(n) = a(n-1) + a(n-3) + a(n-4), a(0) = a(1) = a(2) = 1, a(3) = 2"




#ATTENDANCE Q. #3 for LECTURE 7
#For i = 3,4,5... compute SeqRec([[1$i],[0$(i-1),1]],30);
#Find whether these sequences are in OEIS
#Find their a numbers.  What is the smallest i for which this sequence is not in the OEIS? Should it be?

#ANSWER to Q. #3:	

#		i = 3 --> A000073
#		i = 4 --> A000078
#		i = 5 --> A001591
#		i = 6 --> A001592
#		i = 7 --> A122189
#		i = 8 --> A079262
#		i = 9 --> A104144
#		i = 10 --> A122265
#		i = 11 --> A168082
#		i = 12 --> A168083
#		i = 13 --> A168084
#		i = 14 --> A220469
#		i = 15 --> A220493
#		It seems that i = 16 is the smallest i for which the seq is not in OEIS.  I think it should be because
#		while it closely resembles powers of 2 at some point, it'd be nice to distinguish between them and actually give
#		results when there are many leading 0's.




#ATTENDANCE Q. #4 for LECTURE 7
#Let a:=2nd digit of RUID (9) and b:= 7th digit (1).  What is the 100th term of #GFseq(1/(1-x^a-x^b))?

#ANSWER to Q. #4:	84392484