#ATTENDANCE QUIZ FOR LECTURE 25 of Dr. Z.'s Math454(02) Rutgers University # Please Edit this .txt page with Answers #Email ShaloshBEkhad@gmail.com #Subject: p25 #with an attachment called #p25FirstLast.txt #(e.g. p25DoronZeilberger.txt) #Right after finishing watching the lecture but no later than Dec. 11, 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 25 #most prolific mathematician of all time? #ANSWER to Q. #1: # Google says Leonhard Euler, but if we count collaborations, other sites say Paul Erdos #ATTENDANCE Q. #2 for LECTURE 25 #2, 4, 6, 10, 16, 24, 36, 52, 74, 104, 144, 198, 268, 360, 480, 634, 832, 1084, 1404, 1808 in the OEIS? #ANSWER to Q. #2: # Yes, A098151 #ATTENDANCE Q. #3 for LECTURE 25 #by hand find BZ([[5,2,1,1],-1]); check that it equals [[3,2,2,1,1,1],0] #ANSWER to Q. #3: # -1*(3*(-1)+1)*(-1)/2 = a(-1) = -1 # a(0) = 0 # 5+2+1+1+a(-1) = 10 # 3+2+2+1+1+1+a(0) = 10 as well # 10 = 10 #ATTENDANCE Q. #4 for LECTURE 25 #What is BZ([[100$20],0]); #ANSWER to Q. #4: #[[101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]