Integer Sequences (Math 19, Fall 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 6221
Office Hours: Thu 11-11:50, MS 6125
CCLE site: here. (includes class description and reading)
Weekly seminars:
- Week 1: The story of OEIS (see also Wikipedia article). Reading:
- NJA Sloane's article, Sections 1-6 (first 5 pages).
- J. Borwein and K. Devlin book, Chapter 1 (pages 7-24)
- Week 2: Inverse Symbolic Calculator. Fibonacci numbers (OEIS A45, Wikipedia). Reading:
- J. Borwein and K. Devlin book, pages 40-45, 132-135.
- A. Posamentier and I. Lehmann, "The fabulous Fibonacci numbers", pages 17-20, 25-32.
(download Chapter 1 from CCLE website, Week 2).
- Week 3: Catalan numbers (OEIS A108, Wikipedia). Reading:
- Week 4: No reading.
- Week 5: Partition numbers (OEIS A41, Wikipedia). Reading:
- Week 6: No new reading.
- Week 7: Somos sequence (OEIS A6720, Wikipedia). Reading:
- Week 8: Lozenge tilings of a hexagon and solid partitions (OEIS A8793,
OEIS A5130, Wikipedia articles on plane
partitions and on ASMs).
Reading:
- F. Ardila and R. Stanley, Tilings, pp. 32-36 (middle of right column),
and bottom of 39, left 40.
- D. Keating and A. Sridhar, Random tilings with the GPU, Sections I, II and V.
Grading:
This is a P/NP seminar. The grading is based on attendance and participation.
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Last updated 11/29/2019.