#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
#Attendance question 1
#let a[i] be the i-th digit of your ruid (if it is zero make it 1)
#in how many ways can you walk from 0 to 131 using as fundamental
#the set {a[3],a[5],a[9]}
#Answer 1
#819

#Attendance question 2
#is this sequence in the oeis
# 1,1,1,1,2,3,5,7,10,15,23,35,52,77,115,173,260
#Answer 2
#the sequence is not in oeis

#Attendance question 3
#Let f(x)=1/(1-4x-x^6)
#(i) Find the coefficient of x^100 in the taylor expansion of f(x)
#(ii)Find the coefficient of x^101 in the taylor expansion of f(x)
#How far is a(100)/a(100) from the real root of 1-4*x-x^6
#Attendance Answer 3
#411048332990455915104492378532366163275381170780171837436480
#1644594257296515568488059327938971072084521685469936722570496
#a(100) is pretty close to the real root

#Attendance Question 4
#In how many ways can chess king walk from one corner of the chess board to the opposite corner?
#Attendance Answer 4
#470010