#ATTENDANCE QUIZ FOR LECTURE 9 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p9
#with an attachment called
#p9FirstLast.txt
#(e.g. p9DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Oct. 6, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE:

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

Q1. Let a[i] be the i-th digit of your RUID (if zero make it 1), in how many ways can you walk from 0 to 131 using as fundamental steps the set {a[3], a[5], a[9]}? 
S = {1,9}red
A1. 40885021764

Q2. Is this sequence in the OEIS? 
A2. No it isn't

Q3. 
(i). Let f(x)=1/(1-4*x-x^6), Find the coefficient of x^100 in the taylor expansino of f(x)
(ii). Let f(x)=1/(1-4*x-x^6), Find the coefficient of x^101 in the taylor expansino of f(x)
(iii). How far is a(100)/a(101) from the real root of 1-4x-x^6
A3. 
i).1644594257296515568488059327938971072084521685469936722570496
ii). 6579981121576468112367189280234473995254094130576501178758144
iii). very very small, if i set digits=70, difference is -1*10^(-69) probably the same number. 

Q4. How many ways can a chess king walk from one corner of the chess board to the opposite corner
A4. 48639

Q5. Is this sequence in the OEIS? 
A5. Yes, A051708