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Digit Sequence (Posted on 2005-06-28) Difficulty: 2 of 5
Find the rule and continue this sequence of digits:

1235813941213533488671216141383377554...

Is there a limit to the number of times in a row a digit can appear?

  Submitted by Jer    
Rating: 3.6250 (8 votes)
Solution: (Hide)
Starting with the 1 and 2 add the first two digits and stick it at the end. Then add the 2nd and 3rd digits and stick them at the end, then the 3rd and 4th and stick them on the end, etc...

Its interesting how a simple afterthought like recurring digits can take on a life of its own. I didn't give it much thought, but Erik O. and Charlie came up with a great proof that every digit can occur an unlimited number of times in a row (except 0.)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle AnswerK Sengupta2024-01-14 08:41:10
fibbonnacci to the rescueThe riddler2005-07-31 04:00:43
Questionit's so easy that u needn't to read full even!mridul2005-07-19 10:42:47
SolutionThank you computers!Justin2005-07-08 21:15:32
Order out of chaos -- tracing backCharlie2005-06-29 15:22:40
Some Thoughtsre(2): Theoretically (growing vs. shrinking patterns)Erik O.2005-06-28 20:56:58
re: Theoretically (growing vs. shrinking patterns)Charlie2005-06-28 19:46:58
Some ThoughtsTheoretically (growing vs. shrinking patterns)Erik O.2005-06-28 18:36:34
Hints/Tipsre: First 20,001 digitsCharlie2005-06-28 13:41:15
Hints/TipsFirst 20,001 digitsCharlie2005-06-28 13:33:23
re(3): the solution ---- Some things are just 2 ezyLisa2005-06-28 13:23:32
re(2): the solution ---- Some things are just 2 ezybrianjn2005-06-28 12:31:15
re: the solution - D*#@* - Beatenbrianjn2005-06-28 12:20:34
re: the solutionJer2005-06-28 12:12:26
Solutionthe solutionphi2005-06-28 07:37:23
Clarify ... in a rowbrianjn2005-06-28 04:11:56
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