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