Kenneth Chan #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 Attendence Problem When was Rabbi Levi Ben Gerson born? Answer 1288 in Provence Attendence Problem When was Et. bell born and died. What was he famous for?What is his famous book? Answer Feb 7 1883 known for Men of Mathematics, Mathematics, and Queen and Servant of Science Attendence Problem What was Et bell penname? Answer John Taine Attendence Problem How many set partitions of a 300-element set are there with exactly 5 members? Answer 4090901122108143879424647... Attendence Problem Is 1,1,4,11,41,162,715,3425,17722,98253,580317,3633280,24011157 in the oeis? what is the A-number Answer A000296 Attendence Problem Is it in the oeis? Anumber? Answer No it is not in the oeis Attendence Problem 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)1m1 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 ? should it be? Answer I did not find it, and yes it should be