Binomial Transforms of Sequences

Supervisor:  Dr. Ilia Mishev

Timeline:  Students will meet on Zoom for 1 hour each week and the expectation is that the participants will have to devote another 2 hours of work weekly outside the Zoom meeting.  Two course credit hours (independent study in MATH) will be given.

Students:  (Participation restricted to Smith Hall FYAE students.)

Kalvyn Adams
Lincoln Solt
Deanna Hickson
Graham Mauer
Michael Walker
Taylor Renquist
Matthew Johnson


The binomial transform is a transformation that takes a sequence as an input and gives another sequence as an output according to a certain rule. As an example, we have that the binomial transform of the famous Fibonacci sequence (0,1,1,2,3,5,8,...) is the negated Fibonacci sequence (0,-1,-1,-2,-3,-5,-8,...). We will explore binomial transforms of various sequences. We will make use of the On-Line Encyclopedia of Integer Sequences, which you can see at


Return to the Experimental Mathematics Lab.