Binomial Transforms of Sequences, Fall 2018

Supervisors:  Dr. Ilia Mishev and Graduate Student Sarah Arpin

Â鶹ÒùÔº:  The team is:

  • Jackson Earles
  • Justin Ford
  • Poramate Nakkirt
  • Marlo Terr

Description:

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 .

 

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