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2, 2, 2, 3, 7, 22, 83, ...

by davido (Archbishop)
on Feb 06, 2006 at 06:56 UTC ( #528165=poll: print w/ replies, xml ) Need Help??

vote on 2, 2, 2, 3, 7, 22, 83, ...

42
[bar] 59/42%
128
[bar] 9/6%
250
[bar] 12/9%
333
[bar] 7/5%
326
[bar] 35/25%
360
[bar] 4/3%
667
[bar] 5/4%
1291
[bar] 8/6%
139 total votes
Comment on 2, 2, 2, 3, 7, 22, 83, ...
Re: 2, 2, 2, 3, 7, 22, 83, ...
by bobf (Monsignor) on Feb 06, 2006 at 07:55 UTC

    How appropriate. ;-)

    Hint and spoiler:

      Wow, now that you spoiled me, (and i guessed wrong of course) i admit i never saw
      n a(n) 0 2 1 2 2 2 3 3 4 7 5 22 6 83 7 326 8 1300 9 5195 10 20776 11 83098 12 332387 13 1329543 14 5318166 15 21272659 16 85090631 17 340362521 18 1361450080 19 5445800316 20 21783201259 21 87132805033 22 348531220128 23 1394124880509 24 5576499522030 25 22305998088117
      this coming!
      Thanks for the enlightment, and making me feel a complete idiot :)

      "We all agree on the necessity of compromise. We just can't agree on when it's necessary to compromise." - Larry Wall.

        The second link is better in one respect anyway; it notes that the equation provides an approximation.

        It takes 0 (not 2) bananas to go 0 miles into the desert. It takes 1 banana (not 2) to go 1 mile into the desert. It takes 2 bananas to go 2 miles into the desert. I suspect it takes 6 (not 3 nor 7) bananas to go 3 miles into the desert, but don't ask me how to accomplish it...

        Which means we may not know exactly how many bananas it takes to reach the next milestone. It is approximately 326 but, in my 20-second perusal of the links provided, I don't see an exact answer.

        Update: You can get 3 miles on 6 bananas:

        At 0: eat 1, carry 1 (2 used) 1/2: drop 1 (1/2 in stomach, 1@1/2) 0: eat 1, carry 1 (4 used) 1/2: drop 1 (1/2 in stomach, 2@1/2) 0: eat 1, carry 1 (6 used) 3/4: drop 1 (1/4 in stomach, 2@1/2, 1@3/4) 1/2: eat 1, carry 1 (0@1/2, 1@3/4) 1: drop 1 (1/2 in stomach, 1@3/4, 1@1) 3/4: carry 1 (1/4 in stomach, 0@3/4, 1@1) 1: eat 1 (0@1, still carrying 1) 2: eat 1 (carrying 0) 3: hope the report of "bananas 3 miles in" are true

        Update2: And you can get 4 miles w/ 22 bananas:

        At 0: eat 1, carry 1 (2 used) 1/2: drop 1 (1/2 in stomach, 1@1/2) 0: repeat above 9 more times (20 used, 10@1/2) 0: eat 1, carry 1 (22 used) 3/4: drop 1 (1/4 in stomach, 10@1/2, 1@3/4) 1/2: eat 1, carry 1 (8@1/2, 1@3/4) 1: drop 1 (1/2 in stomach, 8@1/2, 1@3/4, 1@1) 1/2: repeat above 3 times (2@1/2, 1@3/4, 4@1) 1/2: eat 1, carry 1 (0@1/2, 1@3/4, 4@1) 1: drop 1 (1/2 in stomach, 1@3/4, 5@1) 3/4: carry 1 (1/4 in stomach, 0@3/4, 5@1) 1: drop 1 (stomach empty, 6@1) 1: move 3 miles futher in using previous answer

        - tye        

Re: 2, 2, 2, 3, 7, 22, 83, ...
by Happy-the-monk (Monsignor) on Feb 06, 2006 at 08:43 UTC
    • 250
    • 333
    • 326
    • 360

    'tis a bit confuddling that 333 preceeds 326 here.

    Cheers, Sören

Re: 2, 2, 2, 3, 7, 22, 83, ...
by tbone1 (Monsignor) on Feb 06, 2006 at 12:51 UTC
    This use of Western-oriented numbers is clearly introducing a bias and hurting women and minorities! It shows a clear exclusionism on the behalf of those who can count past ten without removing shoes and/or trousers, except for poor white trash who deserve what they get, and as such I demand a tax on NASCAR to pay for massive government programs that pretend to help the allegedly repressed and in reality give unfirable jobs to the unemployable idiot liberal arts children of the middle and upper classes.

    Sincerely,
    Moonbeam Smithers-Jones
    Chair, Harvard Departement of Idiocy Studies

    --
    tbone1, YAPS (Yet Another Perl Schlub)
    And remember, if he succeeds, so what.
    - Chick McGee

      But wait...these numbers are Eastern Hindu-Arabic numerals, obviously showing an anti-Western, anti-Christian bias in the questioner.

      Obviously the questioner is a member of the anti-American East Coast, Liberal elite.

      emc

      " When in doubt, use brute force." — Ken Thompson
        And, just as obviously, I've got to quit sniffing this Ajax. Unfortunately, it's the only way I can get through most days' meetings.

        --
        tbone1, YAPS (Yet Another Perl Schlub)
        And remember, if he succeeds, so what.
        - Chick McGee

Re: 2, 2, 2, 3, 7, 22, 83, ...
by GhodMode (Pilgrim) on Feb 06, 2006 at 15:55 UTC

    Didn't you know?!?

    The answer was never in doubt ...

    Deep Thought: Okay. The answer to the ultimate question of life, the universe, and everything is...
    ... wild cheers from audience, then silence ...
    Deep Thought: 42.

    --
    -- GhodMode
    
    The object in life is not to be on the side of the majority, but to escape finding oneself in the ranks of the insane.
      - Marcus Aurelius
      Of course, this is the real reason, why 42 :0)
      The next theme of the poll could be the ultimate question...
Re: 2, 2, 2, 3, 7, 22, 83, ...
by Anonymous Monk on Feb 06, 2006 at 20:37 UTC
    All of the above answers are correct; it's trivial to construct a simple eigth order function which will map any solution to every single value listed.

    That's why I don't like these sorts of question. They're really just guessing games, where you try to guess what the real question that person framing the problem was thinking of, but failed to adequately communicate. They're problems of culture, masquerading as problems of mathematics.

      All of the above answers are correct; it's trivial to construct a simple eigth order function which will map any solution to every single value listed.
      Please show me how to do this? I haven't the slightest clue how to go about it.
        The way that I seem to remember learning it way back in college looked like this

      That's wy this is a poll. If there was a single real answer, this was a test, not a poll.

      it's trivial to construct a simple eigth order function which will map any solution to every single value listed

      In fact, I've even written a japh based on that idea: Japh algebra. (A bit related is Fast Japh.)

Re: 2, 2, 2, 3, 7, 22, 83, ...
by gregor42 (Parson) on Feb 07, 2006 at 14:18 UTC
    6*9==42


    Wait! This isn't a Parachute, this is a Backpack!
Re: 2, 2, 2, 3, 7, 22, 83, ...
by talexb (Canon) on Feb 07, 2006 at 15:56 UTC

    326: Closest to (what I believe to be) the correct answer of 327.

    Alex / talexb / Toronto

    "Groklaw is the open-source mentality applied to legal research" ~ Linus Torvalds

    Update: Sorry, this is wrong. I wrote a script to show how my answer was right, and it failed. Go about your business, please, there's nothing (useful) to see here.

Re: 2, 2, 2, 3, 7, 22, 83, ...
by gnujsa (Novice) on Feb 08, 2006 at 02:06 UTC
Re: 2, 2, 2, 3, 7, 22, 83, ...
by turo (Friar) on Feb 08, 2006 at 11:06 UTC

    I think camels don't eat bananas!! ...

    ufff ... :'( i can't see the spoiler ...
    i want to work, but i only can think in imaginary camels eating bananas!!!

    ... ahhhh

    perl -Te 'print map { chr((ord)-((10,20,2,7)[$i++])) } split //,"turo"'

      If they had said 'dates' instead of 'bananas' there would be numerous adult-content filters that would find that very offensive.

      You could, of course, s/banana/date/ig.

      emc

      " When in doubt, use brute force." — Ken Thompson

        aaaaaahhhh!!
        I was very innocent (until now)


        dudes, you are going to quit me XP, for this ...
        but here we go:

        sub create_reader_correct_context { if ( defined $filter ) { s/bananas/dates/ig } else { if (not $reader_innocent) { s/camel/jenna jameson/gi } } } create_reader_correct_context(wget(node=528165));
        sorry, i couldn't resist :-P

        perl -Te 'print map { chr((ord)-((10,20,2,7)[$i++])) } split //,"turo"'

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