A fun variant of HW4 # 3

Can you find a region that has exactly domino tilings, where is the sequence of HW4 Problem 3?

A fun variant of HW4 # 3

Can you find a region that has exactly domino tilings, where is the sequence of HW4 Problem 3?

HW4 #3: Small correction

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

HW4 #3: Small correction

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

HW4 Q2a

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??

HW4 Q2a

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??

Lecture 12: Symbolic Method

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

Lecture 12: Symbolic Method

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

HW4 Q2b

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)

HW4 Q2b

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)

What is combinatorics?

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

What is combinatorics?

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

HW4 is online!

What the title says. Check the course website. 🙂 Enjoy!

HW4 is online!

What the title says. Check the course website. 🙂 Enjoy!