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The New Coffee Room

  1. TNCR
  2. General Discussion
  3. Puzzle time - Pisano periods

Puzzle time - Pisano periods

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  • jon-nycJ Offline
    jon-nycJ Offline
    jon-nyc
    wrote on last edited by jon-nyc
    #1

    Sort of a bonus round from the previous puzzle.

    Recall that “Pisano Periods“ are the periods in which the cycle F mod n repeats for a given n, where F represents the Fibonacci sequence.

    Why are all the periods even numbers above n=2?

    And double bonus question, why is there an exception for n = 2?

    The whole reason we call them illegal aliens is because they’re subject to our laws.

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    • jon-nycJ Offline
      jon-nycJ Offline
      jon-nyc
      wrote on last edited by
      #2

      Major hint:

      ||The Fibonacci matrix is your friend||

      The whole reason we call them illegal aliens is because they’re subject to our laws.

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      • KlausK Offline
        KlausK Offline
        Klaus
        wrote on last edited by
        #3

        I already saw the proof somewhere, hence I can't play.

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