> #ATTENDANCE QUIZ 24 ; > #THE NUMBER OF ATTENDANCE QUESTIONS WERE: 9 ; > ; > #Q1 ; > #write down mannually the set of partitions of 7 into distinct pause and explicity the number of integer partitions of 7 into odd pause ; > ; > #Q2 > #What is the A number of this sequence? ; > ; > #A000041 a(n) is the number of partitions of n (the partition numbers). ; > ; > #Q3 ; > #Who wrote the classic book on the theory of partitions? What is his birth date? ; > ; > #George Eyre Andrews ; > #He was born on December 4, 1938 ; > ; > #Q4 ; > #WHAT IS THE A NUMBER OF THIS SEQUENCE ; > ; > #A000009 Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. ; > ; > #Q5 ; > #WHAT IS THE A NUMBER OF THIS SEQUENCE ; > ; > #A000607 Number of partitions of n into prime parts ; > ; > #Q6 ; > #Whose theorem is it that these above two sequences are the same ; > ; > #Q7 ; > #WHAT IS THE A NUMBER OF THIS SEQUENCE ; > #A071734 a(n) = p(5n+4)/5 where p(k) denotes the k-th partition number. ; > ; > #Q8 ; > #(1)Does there exist a k between 0-6 SUCH that seq(pn(7*n+k)/7, n=1..60) is an integer sequence ; > #WHAT IS THE A NUMBER ; > #K = 5, A071746 a(n) = p(7n+5)/7 where p(k) denotes the k-th partition number. ; > ; > #(2)Does there exist a k between 0-10 SUCH that seq(pn(11*n+k)/11, n=1..60) is an integer sequence ; > #WHAT IS THE A NUMBER ; > ; > ; > #K = 6, A076394 a(n) = p(11n+6)/11 where p(n) = number of partitions of n (A000041). ; > ; > ; > #(3)BIG OPEN PROBLEM - CAN YOU FIND OTHER A AND B SUCH THAT pn(A*n+B)/A is always an integer > > > > #Q9 ; > #WHY SHOULD DRZ FROM NOW ON MAKE YOU WATCH THE LECTURES BEFORE THE RECITATION? ; > ; > #Before we watch and study the new lecture, we have time to understand the new knowledge and can ask useful questions duringthe recitation. ;