Kenneth Chan
#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
Problem 1
Let a[i] be the i-th digit of your RUID(if its 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]}
Answer
5,1,6, alot? confused on how to do this

Problem 2
Is this sequence in the OEIS?
Answer 
No but the closest sequence is the number of compositions A286227

Problem 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)
Answer
(i)1644594257296515568488059327938971072084521685469936722570496
(ii)6579981121576468112367189280234473995254094130576501178758144

Problem 4
In how many ways can a chess king walk from one corner of the chess board to the opposite corner?
Answer 
12870

Problem 5
Is this sequence in the oeis
Answer 
Yes this sequence is in the oeis marked A051708