User:Robert Dougherty-Bliss

I'm a graduate student in the math department at Rutgers University (New Brunswick).

I like to explore and solve problems with computers.

Sequences where computers were helpful

• A326344. Bizarre sequence that seems bounded. Turns out to be bounded, and "computational" proof is the only known method.
  • A326894. Base-3 variant of the above.
  • A327241. Base-7 variant of the above.
  • A327701. Maximum value of "base-k" variants of A326344.
  • A309940. Similar sequence where the base shifts with each term. Contains a result which depends on Legendre's conjecture! (Also just look at that beautiful graph!)

Sequences I would like to understand

• A333517. Number of "divisor partitions" of {1, 2, ..., n}. Closed form? Asymptotics? Smallest number of parts for each n?
  • A320430. Counts the number of "coprime partitions." Kind of the opposite of the above.
• A327701. Maximum value of "base-k" variants of A326344. Are those variants all bounded?

Homepage: https://rwdb.xyz/