Experimental Combinatorics (Math 19, Winter 2019)

Instructor: Igor Pak
pak@math.ucla (add .edu at the end, see more on the bottom of this page)

Class schedule: Thu 10:00 - 10:50 pm, MS 7608

Office Hours: Thu 11-11:50, MS 6125

CCLE site: here.

Weekly sequences:

• Week 2: Fibonacci numbers (OEIS A45, Wikipedia)
• Week 3: Catalan numbers (OEIS A108, Wikipedia, my Catalan Numbers page)
• Week 4: Euler numbers (OEIS A111, Wikipedia)
• Week 5: Partition numbers (OEIS A41, Wikipedia)
• Week 6: Number of connected labeled and unlabeled graphs (OEIS A1187 and OEIS A1349)
• Week 7: Somos sequence (OEIS A6720, Wikipedia)
• Week 8: Number of self-avoiding walks (OEIS A1411 and OEIS A1668), and Wikipedia.
• Week 9: Number of SYTs and involutions (OEIS A3040 and OEIS A85).

Additional reading:

• Week 3: D.M. Campbell, The Computation of Catalan Numbers
• Week 4: Section 11 (pp. 20-22) in N.J.A. Sloane, My Favorite Integer Sequences
• Week 5: Section 1,2 (pp. 1-4) in G.E. Andrews, Partitions
• Week 7: D. Gale, The Strange and Surprising Saga of the Somos Sequences
• Week 8: G. Slade, Self-avoiding walks

Click here to return to Igor Pak Home Page.

To e-mail me, click here and delete .zzz
Then follow the rules below:
Put Math 19 in the Subject line and nothing else.
Your email should have the first line "Dear Professor Pak," nothing else, no alterations.
Your email should come from your official ucla.edu email address (for privacy purposes).

Last updated 2/18/2019.