08-28-2022, 01:03 PM
"This video is about number walls a very beautiful corner of mathematics that hardly anybody seems to be aware of."
Link to video
Coding challenge
Create an online implementation of the number wall algorithm using determinants or, ideally, using the cross and horseshoe rules and do a couple of fun things with your program. Here are some possible ideas you could play with: 1. generate pictures of even number (or, more generally, mod p) windows of random integer sequences or of sequences grabbed from here https://oeis.org/ . 2. Explore the Pagoda sequence number wall, again mod various prime numbers. Here is the entry for this sequence in the on-line Encyclopaedia of integer sequences https://tinyurl.com/yc45cfvf 3. Be inspired by the examples in this article https://arxiv.org/abs/0906.3286 Send me a link to your app before the next Mathologer video comes out and I'll enter you in the draw for a copy of Marty and my book Putting two and two together.
Research challenge
Prove the Pagoda sequence wall conjecture or find a counterexample.
- Rob
Link to video
Coding challenge
Create an online implementation of the number wall algorithm using determinants or, ideally, using the cross and horseshoe rules and do a couple of fun things with your program. Here are some possible ideas you could play with: 1. generate pictures of even number (or, more generally, mod p) windows of random integer sequences or of sequences grabbed from here https://oeis.org/ . 2. Explore the Pagoda sequence number wall, again mod various prime numbers. Here is the entry for this sequence in the on-line Encyclopaedia of integer sequences https://tinyurl.com/yc45cfvf 3. Be inspired by the examples in this article https://arxiv.org/abs/0906.3286 Send me a link to your app before the next Mathologer video comes out and I'll enter you in the draw for a copy of Marty and my book Putting two and two together.
Research challenge
Prove the Pagoda sequence wall conjecture or find a counterexample.
- Rob