#ATTENDANCE QUIZ FOR LECTURE 20 of Dr. Z.'s Math454(02) Rutgers University # Please Edit this .txt page with Answers #Email ShaloshBEkhad@gmail.com #Subject: p20 #with an attachment called #p20FirstLast.txt #(e.g. p19DoronZeilberger.txt) #Right after finishing watching the lecture but no later than Nov. 17, 2020, 8:00pm THE NUMBER OF ATTENDANCE QUESTIONS WERE: PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH, BY THE ANSWER #Attendance Question #How many set partitions of A 300-element set are there with #exactly 5 members? #Attendance Answer #24 #Attendance Question #Is 1,1,4,11,41,162,715,3425,17722 #in the oeis? what is the A-number? #Attendance Answer #A296 #Attendance Question #is it in the oeis? A number #0,1,1,4,10,40,140,630 #Attendance Answer #not in oeis #Attendance Question #Let a_k(n): Be the number of permutations where every cycle is of length at least k #a_1(n)=n! a_2(n)=d(n) #For k=3, k=4, k=5 ... find the first 30 terms of a_k(n) and see whether there are already in the OEIS? Which k is the smallest that is not there? #Attendance Answer #5 is not in OEIS