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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

659.0. "sequences" by VINO::JMUNZER () Tue Jan 27 1987 16:13

    Today's NY Times has a nice article about a number-sequence expert.
    
    You might try the following sequence:
    
    	4  6  7  9  10  11  12  14  15  16  ?

    I think it would be nice if the answer were not given away too soon;
    perhaps people who understand it could just say so -- or add a number.

    John
T.RTitleUserPersonal
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659.117CHOVAX::YOUNGBack from the Shadows Again,Tue Jan 27 1987 16:471
    ANNNI FS B@(1,1)
659.2and then 18...CLT::GILBERTeager like a childTue Jan 27 1987 18:140
659.3TLE::BRETTTue Jan 27 1987 19:543
    17 18 19 20 22 ...
    
    /Bevin
659.4multiple choice?SSDEVO::LARYTue Jan 27 1987 23:429
While I believe the sequence given in .3 is the intended one, the partial
sequence given also supports the continuation:

	17 18 19 20 21 23 ...

(i.e. sequences of 1, 2, 4, 8, etc consecutive numbers then skip one)

							Richie

659.56?VINO::JMUNZERWed Jan 28 1987 12:156
    Re .4:  "The logic of sequences can also be tricky.  The Sloane
    [Sloane is the expert] handbook lists no less than 22 different
    sequences that begin 1, 2, 3, 4, 5, ...."
    				(from the article of .0)
    
    John
659.6Exclude the trivial cases!SQM::HALLYBAre all the good ones taken?Wed Jan 28 1987 14:121
    And which perfect square is NOT in the sequence?
659.71CHOVAX::YOUNGBack from the Shadows Again,Wed Jan 28 1987 15:171
    
659.8CLT::GILBERTeager like a childWed Jan 28 1987 16:471
I understand .4, but *not* why .3 is a reasonable answer.  Help?
659.9>1!SQM::HALLYBAre all the good ones taken?Wed Jan 28 1987 17:2312
Re: < Note 659.7 by CHOVAX::YOUNG "Back from the Shadows Again," >

    "1" is a trivial case, try something with a bit less fluff.
    
    
    
    
    
    
    

    No, "0" is even fluffier.
659.10!!!CHOVAX::YOUNGBack from the Shadows Again,Wed Jan 28 1987 20:3711
    Re .9:
    
    Fluff!  Don't blame me just because your question got cooked!  ;^)
    
    
    Seriously though, I'll try it out when I get home.
    
    --  Barry
    
    PS. Re .8: It works for me.  We must have different series.  Should
    	we give it away yet?
659.11notJON::MORONEYLegalize LibertyWed Jan 28 1987 20:553
re .8:  Hint:  Think in opposites...

-Mike
659.12reading helps...CHOVAX::YOUNGBack from the Shadows Again,Thu Jan 29 1987 01:3415
    Re .6:
    
    	Set face/red
    
    	Now that I am home, and have taken the time to actually read
    	your note, John, I do in fact see that your title requests
    	non-trivial cases.  I am properly abashed.  Please forgive,
    	<grovel, grovel,...>
    
    	Set face/normal
    
    In other news, I think that the (an?) answer to your question is
    144.
    
    --  Barry
659.13got it finally (before reading .12)CLT::GILBERTeager like a childThu Jan 29 1987 14:550
659.14A gross of crumbs,SQM::HALLYBAre all the good ones taken?Thu Jan 29 1987 23:484
    The answer in .12 is the one I was looking for.  A prize of
    (1 - phi) cookies.  Hope it won't get as stale as Gilbert's!

      John
659.15On collecting cookies...CHOVAX::YOUNGBack from the Shadows Again,Fri Jan 30 1987 05:124
    * sigh *
    
    I live in Cherry Hill, NJ, and I can count on one nose the times
    I have ever even been in Mass.
659.16My complements on your subtlety!ZFC::DERAMODaniel V. D'EramoFri May 08 1987 22:3015
     Hi!  I'm fairly new to MATH notes, so I didn't read this
     until yesterday.  I must admit that I had no idea what the
     solution was.  Then, this morning, the answer suddenly came
     to me (Eureka!) when I was in the shower.  (I'm not fibbing,
     I sometimes solve math problems in the shower.)  The hint
     that popped into my mind along with the solution was ...

>> .14    The answer in .12 is the one I was looking for.

     ... but looking back at all the replies, they must have all
     helped without my realizing it at the time.

     This one was fun!  I like this conference.

     Dan