Emily and Hannah pointed out a small mistake in Problem 3b on HW 4. (Thank you!) The subindices are shifted by one. The correct recurrence should be: Thank
If I’m not mistaken, p_0(x)=S(0,0)=0. But it seems like for the statement in (a) to be true for n=1,n=2 which I tried, p_0(x) should equal 1. Do you see what I am missing??
SPOILER ALERT: This thread might give you hints to solve Homework 4 Problem 1. If you don’t want a hint (yet), stop reading! Today in class I discussed “The Symbolic Method” for ordinary generating functions, and I promised you some
Hello, I was wondering if in this question we are talking about the polinomial sequence p_n(x)=x^n or is there some other well known sequence of polynomials that satisfy (1)? (by the way, it doesn’t appear in the hw who (1)
Igor Pak collected opinions from many experts. Some of these are very interesting, and in HW 5 I ask you to react to them. Feel free to discuss them here if you’d like. They are at: http://tinyurl.com/c8nvcfq Today in class I