2008 Student Research Conference:

21st Annual Student Research Conference

21st Annual Student Research Conference

**Sequences of Integers with Missing Blocks of Digits**

Ha D. Ta

Dr. David Garth, Faculty Mentor

We study about the sequences of integer with missing blocks of digits. We prove that for any sequences of integer with missing a certain block of digits in base a is a- automatic. We then prove any set of all natural numbers whose base a representation does not contain a certain block of digits can be generated by a conditional rule. We also give some examples of sequences of integer with missing blocks of digit with some interesting characteristics.

**Keywords:** Mathematics, Number Theory, Integer

**Topic(s):**Mathematics

**Presentation Type:** Poster

**Session:** 10-1

**Location:** OP Lobby

**Time:** 4:15