#ATTENDANCE QUIZ FOR LECTURE 11 of Dr. Z.'s Math454(02) Rutgers University # Please Edit this .txt page with Answers #Email ShaloshBEkhad@gmail.com #Subject: p11 #with an attachment called #p11FirstLast.txt #(e.g. p11DoronZeilberger.txt) #Right after finishing watching the lecture but no later than Oct. 13, 2020, 8:00pm THE NUMBER OF ATTENDANCE QUESTIONS WERE:3 #attendance question 1 #who was Dr.z's next door neighbor? #what did he reply to Dr.z when asked "How many ways to break up russian Dolls?" #Answer: Dr. Joel Spencer was Dr. z's neighbor in 1980 and he relied to the question as "This is sterling question" ################################# #attendance question 2 #what is the A-number in the oeis of sequence [1,2,5,15,52,203,877,4140]? #Answer: A000110 ################################# #attendance question 3 #Which of the Z(r) except for r=1 are in the OEIS? #answer: Z := r -> local n, k; seq(add(Snk(n, k)^r, k = 1 .. n), n = 1 .. 20) Z(2) 1, 2, 11, 87, 952, 13513, 237113, 5016728, 125121009, 3615047527, 119384499720, 4455637803543, 186152008588691, 8636436319397292, 441871067839416319, 24781002306869712365, 1515279889256750470086, 100546673139756241189021, 7209605987244352052104275, 556516294632874102717412282 #A047797 #z(3) ~ Z(6) doesn't have a OEIS seq.