#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: 4

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

1. Let a[i] be the i-th digit of your RUID (if zero make it 1).
How many ways can you walk from 0 to 131 using as fundeamental steps in the set {a[3],a[5],a[9]} ?
RUID: 178000194
a[3] = 8, a[5]= 1, a[9]= 4
9438797824

2. Is this sequence in the OEIS?
1,1,1,1,2,3,5,7,10,15,23,35,52,77,115,173,260,389,581,869,1302,1951,2921,4371,6542,9796,14667,21959,32872,...
no

3.Let f(x)=1/(1-4*x-x^6);
(i) Find the coefficient of x^100 in the Taylor expansion of f(x).
1644594257296515568488059327938971072084521685469936722570496
(ii) Find the coefficient of x^101 in the Taylor expansion of f(x).
6579981121576468112367189280234473995254094130576501178758144

4. In how many ways can a chess king walk from one corner of the chess board to the opposite corner?
58