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UID:3c154995a000eb747bc23da8f553f8c6
CATEGORIES:Experimental Mathematics Seminar
CREATED:20240325T210939
SUMMARY: Eric Angelini's Comma Sequence Part 2
LOCATION:https://rutgers.zoom.us/j/94346444480 [password: The 20th Catalan number\, 
 alias (40)!/(20!*21!)
DESCRIPTION:<p>At the beginning of the semester, Neil Sloane introduced the comma seque
 nce (introduced to him by Eric Angelini) that works as follows. Choose your
  favorite number in your favorite base. Now we'll build a sequence from it 
 with the following rule: the difference between consecutive terms is equal 
 to the concatenation of the digits on either side of the comma between them
 . If you chose 1 and base 10, then your next terms would be 12 because 12-1
 =11 and then 35 because 35-12=23. This sequence will continue for 2,137,452
  steps, then fails to find a suitable successor for the value 99,999,945. W
 e will discuss some problems presented by Sloane including a proof that all
  comma sequences in bases 3 through 19 are finite. Based on joint work with
  Robert Dougherty-Bliss.</p>
CONTACT: Natasha Ter-Saakov, Rutgers University
DTSTAMP:20260827T141909
DTSTART;TZID=America/New_York:20240411T170000
DTEND;TZID=America/New_York:20240411T180000
SEQUENCE:0
TRANSP:OPAQUE
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