#ATTENDANCE QUIZ FOR LECTURE 6 of Dr. Z.'s Math454(02) Rutgers University # Please Edit this .txt page with Answers #Email ShaloshBEkhad@gmail.com #Subject: p6 #with an attachment called #p6FirstLast.txt #(e.g. p6DoronZeilberger.txt) #Right after finishing watching the lecture but no later than Sept. 24, 2020, 8:00pm THE NUMBER OF ATTENDANCE QUESTIONS WERE: PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH BY THE ANSWER Q1: Who was Gian-Carlo Rota? A1: A late, great mathematician who spent most of his career at MIT, where he worked in combinatorics, functional analysis, probability theory, and phenomenology. Q2: Use the Internet to find the quote from Rota about how useful PIE exists. A2: I don't know about the PIE quote, but I found this one: "Nature imitates mathematics." Q3: What does Recontres mean in French? Who made the problem up? A3: Recontre translates to "meet" according to translate.google.com In combinatorics, the Recontres numbers are a triangular array of integers which enumerate permutations of the set {1,2,...,n} with specified numbers of Fixed Points; in other words, partial derangements. Q4: What is the OEIS A# of the following sequence: 0,1,2,9,44,265,1854,14833,133496,1334961,... ? A4: A000166 - Subfactorial or Recontres numbers. Number of permutations of n elements with no fixed points.