The Online Encyclopedia of Integer Sequences (OEIS) was founded in 1964 by Neil Sloane. It now encompasses a quarter-million sequences, and it is a phenomenal reference for anyone involved in math. I will use this page to make connections between the OEIS and this Web site.

**McNuggets**(OEIS: A214777).

If you can order 6, 9, or 20, what numbers can you NOT order?- This, and a generalization, appeared in Lesson 5.08 of
*Algebra: Themes, Tools, Concepts*.

**Trapezoidal numbers**(aka staircases):- Which numbers can be written as the sum of consecutive positive integers? (OEIS: A057716)
- In how many ways? (OEIS: A069283)

**Polyforms**are the shapes you get by combining multiple copies of a given "form" (usually a polygon,) attached to each other edge-to-edge. I discuss them, and link to many other pages, in Geometric Puzzles in the Classroom. Specifically:- Pentominoes are polyominoes (OEIS: A000105).
- Supertangrams are polytans, aka polyaboloes (OEIS: A006074)
- And my own invention: polyarcs (OEIS: A057787)

**Polyomino perimeter**(OEIS: A027709) is the subject of one of my all-time favorite lessons.- Lessons 1.01 and 1.02 in
*Algebra: Themes, Tools, Concepts* - Labs 8.1 to 8.3 in
*Geometry Labs*

**Square-Sum Pair Partitions**: Arrange the whole numbers from 1 to 18 into nine pairs so that the sum of the numbers in each pair is a perfect square. Generalize. (OEIS: A253472)- This article, co-authored with Gord Hamilton and Kiran Kedlaya won the MAA Polya Prize.

**Prime numbers:**In my Infinity course, one of the units is about infinite sets, and includes:- The proof that there are an infinite number of primes (OEIS: A000040)
- Slime numbers, i.e. concatenations of primes (OEIS: A166504, A085823)

**More sequences!**Another unit in the same course is about proof by mathematical induction, and includes:- Triangular numbers (OEIS: A000217)
- Centered pentagonal numbers (OEIS: A005891)
- Fibonacci numbers (OEIS: A000045)
- Sum of cubes (OEIS: A000537)