#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

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

1) Who was Dr. Z.'s Next Door Neighbor in 1980?
What did he reply to Dr. Z. when asked "How many ways to break up Russian dolls?"

Dr. Z's next door neighbor in 1980: Dr. Joel Spencer
He said that it is a Sterling question, it rings a bell.

2) What is the A number in the OEIS of this sequence?
[1,2,5,15,52,203,877,4140]
A000110

3) Which of Z(r) except for r=1 are in the OEIS?
For each of them that exists list the A-number
Z:=r->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)
1, 2, 29, 561, 20002, 1036793, 73149211, 7001620230, 851266098273, 129480967191991, 24185129583364026, 5424056667552385525, 1443073264349607373459, 450080587782825702959428, 162652881944216945326739621, 67512255613290113392967055419, 31932249941295949652321672992764, 17083534258217238214530371473504729, 10272162669894535616904349293826548581, 6902795139982079095540153002938846571784
Not in OEIS

Z(4)
1, 2, 83, 3699, 451252, 84434773, 23614898645, 10463322887972, 6112163811896661, 4903431947965569559, 5212404842475146112216, 6985594807709708763240759, 11849009064222175198435274519, 24898173439275578749885971467688, 63434260177419240237729022637336167, 194898919300342257733730608874815122245, 713766524380274106820586177019487722185526, 3077089794688695898588185655295779392820746841, 15512913331699241710807710362523795683727445460571, 90790268446931656016422321758621840572313807902435786
Not in OEIS