Fibonacci numbers and D-finite numbers (Greg Dresden)

Remote: this project is scheduled to begin on 6/08/2026 and run for 6 weeks, finishing on 7/17/2026.

Project Description

The Fibonacci sequence start with 0,1,1,2,3 and then each number is the sum of the two previous terms. By contrast, a D-finite sequence might start the same but then each number is some polynomial times the previous term(s). There’s a connection between these D-finite sequences, and sums of double-products in Pascal’s triangle. I haven’t figured it out yet, but that’s the plan for the summer!

Prerequisites

Some math sophistication, and Math 225 or equivalent.

Special Comments

Project Information (subject to change)

Estimated Start Date: 6/08/2026

Estimated End Date: 7/17/2026

Estimated Project Duration: 6 weeks

Maximum Number of Students Sought: 2

Research Location: Remote

Travel Required? No (If “yes”: )

Contact Information: Greg Dresden (email: dresdeng@wlu.edu)