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    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #1

    Feb 19, 2007, 08:05 AM
    My favourite number sequence.
    Here is an interesting number sequence.

    It is available on the web so please take it in the spirit it is given, for good fun, and don't look it up.

    Here are the first 10 terms:

    0, 0, 0, 0, 4, 9, 5, 1, 1, 0,

    I ask you to post the next unconfirmed number in the sequence, without explaining why, so that others may have a go.

    I will reveal extra numbers if nobody gets the next term in a day or so.
    I will also let people know if their term is correct.
    On Friday I will give the rule for anybody who is still stuck.

    Many thanks for observing these guidelines to maximise everyone's fun :)

    Feel free to post thoughts and suspicions though :) - clues will be available if nobody is on the right track
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #2

    Feb 19, 2007, 09:19 AM
    I'm guessing that the sequence is based on an external data source. i.e. it is not a mathematical function like f(n). Looking at f(n)-f(n-1) and f(n)/f(n-1) reveal no obvious patterns. I'll continue to investigate!
    colbtech's Avatar
    colbtech Posts: 748, Reputation: 66
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    #3

    Feb 19, 2007, 09:37 AM
    Are these the last 10 scores made by English opening batsmen in cricket?
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    Feb 19, 2007, 09:45 AM
    Entertaining guess colbtech

    Not right though :)

    I don't think I'll comment on mathematical function yet asterisk.
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #5

    Feb 19, 2007, 10:51 AM
    So hard to investigate something without using Google! :)
    Can't be a simple letter/number substitution. No word starts with 4 consecutive same letters. The answer is available on the web so it must not be using any of the sentences that capuchin wrote that would only apply to this forum at this time as a data source.
    Since I have nothing better I will make the naïve guess that it is a simple repeating pattern
    0, 0, 0, 0, 4, 9, 5, 1, 1,0, 0, 0, 0, 4, 9, 5, 1, 1, 0, 0, 0, 0, 4, 9, 5, 1, 1, 0,
    So the next number would be 0? Maybe capuchin will let a hint fly when he tells me I'm wrong :)
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #6

    Feb 19, 2007, 10:57 AM
    Well that wouldn't be very exciting would it :p

    I'm going to wait till tomorrow to give a clue.
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #7

    Feb 19, 2007, 11:07 AM
    So 0 is or is not the next term in the sequence :)
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #8

    Feb 19, 2007, 11:10 AM
    Is not.
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #9

    Feb 19, 2007, 11:27 AM
    Maybe letter count in some text? But what text would have zero a b c d j and 3*e 9*f 5*g 1*h 1*i ? That's a lot of f for so few e. e should be about 12.7% of the letters so the text would be about 24 characters long but f should only be 2.2% so the text would be about 409 characters long. Based on this inconsistency I'm guessing it isn't letter count or the text is short, about 30 characters and has unusual words.
    Just thinking aloud so feel free to tell me your side... if anyone else is working this besides me.
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #10

    Feb 19, 2007, 11:32 AM
    Okay, a mini clue, it's an infinite sequence.

    I don't want to give too much away until the other math heads have popped in
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #11

    Feb 19, 2007, 11:35 AM
    OK. Everyone else must be asleep. I'll try to sit on this one until I find an answer or tomorrow comes around :)
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #12

    Feb 19, 2007, 01:04 PM
    I only know (I think) because I have seen this before. Is the next number 55?
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #13

    Feb 19, 2007, 01:26 PM
    Hehe yes galactus,

    Anyone want to guess the 12th term? :)

    (I think that should confuse asterisk man)
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #14

    Feb 20, 2007, 07:57 AM
    Agreed! Very confused!
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #15

    Feb 21, 2007, 01:23 AM
    0, 0, 0, 0, 4, 9, 5, 1, 1, 0, 55,.

    Anyone want to hazard a guess at term 12? :)
    asterisk_man's Avatar
    asterisk_man Posts: 476, Reputation: 32
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    #16

    Feb 21, 2007, 07:43 AM
    I want to hazard a guess but I can't because I can't figure out a pattern! And the "I think that should confuse asterisk man" comment confuses me most of all :)
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #17

    Feb 21, 2007, 07:46 AM
    I was simply commenting that it going from a nice single digit sequence up to 55 would confuse anybody, especially you as you are putting some effort into it :p
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #18

    Feb 21, 2007, 07:47 AM
    The 12th term is 55 also. The 13th is 1.
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #19

    Feb 21, 2007, 07:48 AM
    *shakes fist at galactus*

    You've given it away now! :P
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #20

    Feb 21, 2007, 07:50 AM
    I doubt it. The pattern is rather obscure for anyone to find. The only reason I know it is because I seen it several years back. I will stay out of it from here on out. We'll see if anyine gets it. Some bright folks here.

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