#ATTENDANCE QUIZ FOR LECTURE 21 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p21
#with an attachment called
#p21FirstLast.txt
#(e.g. p21DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Nov. 20, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE:

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

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1. How many connected graphs are there with 30 vertices and 50 edges?
A1. L := WtEdConGclever(30, a);
coeff(L[30], a, 50);
616531513027177775473601317524937092680978914590598004251998471840

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2. Find the number of labelled graphs with 50 vertices and 5 components. (not connected)
A2. NuKcomp(50, 5)[50];
8478898769087132221372075981319343772340049898599778271771883957\

  75305784916394110747990275055299781322568818279009002885758853\

  48212857384767830040557053247256490676318714477784265805319979\

  12754588338757770602066132091766888900020551743577913219185207\

  70044264772718553756381630036749487602537274670704109302833374\

  82240

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3. How many labelled connected graphs are there with 30 vertices and 50 edges?
A3. L := WtEdConGclever(30, a);
coeff(L[30], a, 50);
616531513027177775473601317524937092680978914590598004251998471840

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4. For i=2,3,4,5,... Find the OEIS A-number (if it exists) of NuKcomp(20,i).
	What is the smallest i for which it is not in the OEIS?
A4. NuKcomp(20,2) := A323875  
    NuKcomp(20,3) := A323876
    NuKcomp(20,4) := A323877
    NuKcomp(20,5) := n/a     => smallest i that is not on OEIS
    NuKcomp(20,6) := n/a
    NuKcomp(20,7) := n/a
    NuKcomp(20,8) := n/a

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