This site is supported by donations to The OEIS Foundation.

Template:Sequence of the Day

From OeisWiki
Jump to: navigation, search

Sequence of the Day for August 18

A182809: Fibonacci numbers that are base 10 cyclops numbers.

{0, 75025, 6557470319842, 14472334024676221, 99194853094755497, ... }

It’s not often that a base-dependent integer sequence (Keyword: base) piques my interest. When I first saw it, my first thoughts were “Keywords: Base and hard and more? We’ll see about that.” I thought a quick and dirty Mathematica program would prove that more terms are easy to come by and the keywords hard and more are totally unwarranted.

Well, I was wrong. Indeed, a little reflection and commonsense will show that the likelihood that Fibonacci numbers with more and more digits will have only one instance of the digit 0, and that that digit will be precisely in the middle, is increasingly improbable. And yet, commonsense is insufficient to prove with mathematical certainty that this sequence is finite and given in full. The most that we can say for now is that there are no more terms less than
F10 7
.





The following is in the <noinclude> ... </noinclude> section.

For more details about today's Sequence of the Day, see {{Sequence of the Day for August 18}}.

Guidelines for selecting the Sequence of the Day

  • These are not rules. But if they were rules, they would only be enforced by the honor system.
  • Whenever practical, the Sequence of the Day should bear some relation either to the calendar date (hint: browse arXiv e-prints by date) or to some recent newsworthy event.
  • The write-up should be brief and not require advanced mathematical knowledge to understand.
  • Positive preference given to sequences with keyword:nice.
  • No special preference for sequences with keyword:core.
  • Negative preference for sequences with keyword:uned or keyword:less. However, it is perfectly acceptable to polish up an uned sequence just prior to featuring.
  • Each OEIS contributor should get at least one opportunity to choose the Sequence of the Day.
  • The chooser ought not choose a sequence they have authored. But one they have edited heavily is perfectly acceptable.
  • Ideally this will be changed each day at 0:00 per the OEIS Wiki clock. Each Sequence of the Day should be up for at least 22 hours but not more than 26 hours.
  • There shouldn't be a big, heavy, bureaucratic apparatus to administer this feature.